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History of Mahler measures of $1+x_1+\dots+x_{n-1}$ (short random walks)

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2026-09-18 03:56 bmatschke interactive say how the values approach (log n - gamma)/2, and why the table stops at 200 current reviewed
2026-09-17 22:52 zeta3 generator mu_200 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_199 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_198 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_197 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:50 zeta3 generator mu_196 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:50 zeta3 generator mu_195 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:49 zeta3 generator mu_194 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:49 zeta3 generator mu_193 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:48 zeta3 generator mu_192 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:48 zeta3 generator mu_191 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:47 zeta3 generator mu_190 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:47 zeta3 generator mu_189 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:46 zeta3 generator mu_188 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:46 zeta3 generator mu_187 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:45 zeta3 generator mu_186 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:45 zeta3 generator mu_185 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:44 zeta3 generator mu_184 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:44 zeta3 generator mu_183 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:43 zeta3 generator mu_182 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:43 zeta3 generator mu_181 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_180 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_179 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_178 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:41 zeta3 generator mu_177 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:41 zeta3 generator mu_176 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:40 zeta3 generator mu_175 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:40 zeta3 generator mu_174 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_173 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_172 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_171 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:38 zeta3 generator mu_170 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:38 zeta3 generator mu_169 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:37 zeta3 generator mu_168 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:37 zeta3 generator mu_167 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_166 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_165 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_164 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:35 zeta3 generator mu_163 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:35 zeta3 generator mu_162 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:34 zeta3 generator mu_161 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:34 zeta3 generator mu_160 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_159 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_158 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_157 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:32 zeta3 generator mu_156 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:32 zeta3 generator mu_155 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:31 zeta3 generator mu_154 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:31 zeta3 generator mu_153 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:30 zeta3 generator mu_152 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:30 zeta3 generator mu_151 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_150 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_149 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_148 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:28 zeta3 generator mu_147 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:28 zeta3 generator mu_146 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:27 zeta3 generator mu_145 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:27 zeta3 generator mu_144 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:26 zeta3 generator mu_143 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:26 zeta3 generator mu_142 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:25 zeta3 generator mu_141 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:24 zeta3 generator mu_140 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:24 zeta3 generator mu_139 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:23 zeta3 generator mu_138 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:22 zeta3 generator mu_137 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:22 zeta3 generator mu_136 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:21 zeta3 generator mu_135 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:20 zeta3 generator mu_134 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:20 zeta3 generator mu_133 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:19 zeta3 generator mu_132 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:19 zeta3 generator mu_131 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_130 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_129 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_128 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:17 zeta3 generator mu_127 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:17 zeta3 generator mu_126 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:16 zeta3 generator mu_125 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:16 zeta3 generator mu_124 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_123 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_122 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_121 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:14 zeta3 generator mu_120 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:14 zeta3 generator mu_119 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:13 zeta3 generator mu_118 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:13 zeta3 generator mu_117 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_116 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_115 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_114 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:11 zeta3 generator mu_113 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:11 zeta3 generator mu_112 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:10 zeta3 generator mu_111 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:10 zeta3 generator mu_110 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_109 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_108 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_107 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:08 zeta3 generator mu_106 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:08 zeta3 generator mu_105 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_104 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_103 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_102 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:06 zeta3 generator mu_101 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:06 zeta3 generator mu_100 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:05 zeta3 generator mu_99 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:05 zeta3 generator mu_98 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_97 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_96 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_95 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:03 zeta3 generator mu_94 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:03 zeta3 generator mu_93 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:02 zeta3 generator mu_92 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:02 zeta3 generator mu_91 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_90 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_89 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_88 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:00 zeta3 generator mu_87 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:00 zeta3 generator mu_86 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:59 zeta3 generator mu_85 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:59 zeta3 generator mu_84 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_83 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_82 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_81 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:57 zeta3 generator mu_80 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:57 zeta3 generator mu_79 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_78 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_77 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_76 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:55 zeta3 generator mu_75 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:55 zeta3 generator mu_74 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:54 zeta3 generator mu_73 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:54 zeta3 generator mu_72 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:53 zeta3 generator mu_71 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:52 zeta3 generator mu_70 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:51 zeta3 generator mu_69 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:49 zeta3 generator mu_68 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:48 zeta3 generator mu_67 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:47 zeta3 generator mu_66 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:46 zeta3 generator mu_65 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:45 zeta3 generator mu_64 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:44 zeta3 generator mu_63 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:43 zeta3 generator mu_62 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:41 zeta3 generator mu_61 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:39 zeta3 generator mu_60 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:38 zeta3 generator mu_59 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:36 zeta3 generator mu_58 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:34 zeta3 generator mu_57 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:33 zeta3 generator mu_56 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:31 zeta3 table-ideas@1.102+e955c1fb mu_55 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:29 zeta3 table-ideas@1.102+e955c1fb mu_54 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:27 zeta3 table-ideas@1.102+e955c1fb mu_53 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:26 zeta3 table-ideas@1.102+e955c1fb mu_52 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:22 zeta3 table-ideas@1.102+e955c1fb mu_51 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:20 zeta3 table-ideas@1.102+e955c1fb mu_50 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:17 zeta3 table-ideas@1.102+e955c1fb mu_49 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:15 zeta3 table-ideas@1.102+e955c1fb mu_48 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:12 zeta3 table-ideas@1.102+e955c1fb mu_47 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:08 zeta3 table-ideas@1.102+e955c1fb mu_46 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:05 zeta3 table-ideas@1.102+e955c1fb mu_45 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:02 zeta3 table-ideas@1.102+e955c1fb mu_44 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:58 zeta3 table-ideas@1.102+e955c1fb mu_43 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:55 zeta3 table-ideas@1.102+e955c1fb mu_42 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:48 zeta3 table-ideas@1.102+e955c1fb mu_41 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:45 zeta3 table-ideas@1.102+e955c1fb mu_40 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:37 zeta3 table-ideas@1.102+e955c1fb mu_39 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:32 zeta3 table-ideas@1.102+e955c1fb mu_38 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:25 zeta3 table-ideas@1.102+e955c1fb mu_37 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:21 zeta3 table-ideas@1.102+e955c1fb mu_36 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:10 zeta3 table-ideas@1.102+e955c1fb mu_35 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:07 zeta3 table-ideas@1.102+e955c1fb mu_34 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:58 zeta3 table-ideas@1.102+e955c1fb mu_33 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:56 zeta3 table-ideas@1.102+e955c1fb mu_32 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:43 zeta3 table-ideas@1.102+e955c1fb mu_31 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:41 zeta3 table-ideas@1.102+e955c1fb mu_30 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:30 zeta3 table-ideas@1.102+e955c1fb mu_29 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:27 zeta3 table-ideas@1.102+e955c1fb mu_28 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:16 zeta3 table-ideas@1.102+e955c1fb mu_27 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:13 zeta3 table-ideas@1.102+e955c1fb mu_26 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:02 zeta3 table-ideas@1.102+e955c1fb mu_25 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:59 zeta3 table-ideas@1.102+e955c1fb mu_24 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:48 zeta3 table-ideas@1.102+e955c1fb mu_23 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:43 zeta3 table-ideas@1.102+e955c1fb mu_22 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:32 zeta3 table-ideas@1.102+e955c1fb mu_21 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:28 zeta3 generator mu_20 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:17 zeta3 generator mu_19 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:13 zeta3 generator mu_18 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:01 zeta3 generator mu_17 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:57 zeta3 generator mu_16 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:46 zeta3 generator mu_15 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:40 zeta3 generator mu_14 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:26 zeta3 generator mu_13 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:18 zeta3 table-ideas@1.102+e955c1fb mu_12 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:05 zeta3 table-ideas@1.102+e955c1fb mu_11 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:00 zeta3 table-ideas@1.102+e955c1fb mu_10 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:48 zeta3 table-ideas@1.102+e955c1fb mu_9 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:42 zeta3 table-ideas@1.102+e955c1fb mu_8 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:27 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:02 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 15:59 bmatschke interactive say how the values from n = 7 on were obtained: the Bessel integral of Borwein, Straub, Wan and Zudilin, between the zeros of J_0, at two working precisions, checked first against the closed forms for mu_3 and mu_4
2026-09-17 15:39 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-16 21:10 zeta3 table-repair@1.109+64cc4f29 move Mahler integral out of definition
2026-09-16 21:09 zeta3 table-repair@1.109+64cc4f29 clarify Mahler notation and eta-value status

What changed between 2026-09-16 21:10 and 2026-09-17 15:39

from line 116 (25 lines, 7 more than before) @@ -116,18 +116,25 @@ 
   number-header: $\mu_n$ Numbers:-  '3':-    number: '0.32306594721945051409363651072380639407224184078059'-    comment: Smyth's value $\mu_3=\mathrm{Cl}_2(\pi/3)/\pi=\frac{3\sqrt3}{4\pi}L(2,\chi_{-3})$.-  '4':-    number: '0.42627839881750579092352142659616687305800676962964'-    comment: Smyth's value $\mu_4=7\zeta(3)/(2\pi^2)$.-  '5':-    number: '0.54441256175218558519587806274502767666605280202853'-    comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral-      CITE{formula-rv5}; Borwein, Straub, Wan and Zudilin confirmed this numerically-      to 600 decimal places CITE{BSWZ}.-  '6':-    number: '0.62731707483690980718358664940461715251475544677472'-    comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral-      CITE{formula-rv6}; Borwein, Straub, Wan and Zudilin confirmed this numerically-      to 80 decimal places CITE{BSWZ}.+- comment: Smyth's value $\mu_3=\mathrm{Cl}_2(\pi/3)/\pi=\frac{3\sqrt3}{4\pi}L(2,\chi_{-3})$.+  params:+    n: '3'+  number: '0.32306594721945051409363651072380639407224184078059'+- comment: Smyth's value $\mu_4=7\zeta(3)/(2\pi^2)$.+  params:+    n: '4'+  number: '0.42627839881750579092352142659616687305800676962964'+- comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral+    CITE{formula-rv5}; Borwein, Straub, Wan and Zudilin confirmed this numerically+    to 600 decimal places CITE{BSWZ}.+  params:+    n: '5'+  number: '0.54441256175218558519587806274502767666605280202853'+- comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral+    CITE{formula-rv6}; Borwein, Straub, Wan and Zudilin confirmed this numerically+    to 80 decimal places CITE{BSWZ}.+  params:+    n: '6'+  number: '0.62731707483690980718358664940461715251475544677472'+- params:+    n: '7'+  number: '0.70292629247696726678782394439522698211409870734036'

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