History of Special values of the $L$-functions of level one cusp forms

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2026-09-18 07:21 zeta3 table-repair@2.0+dc0f96a0 shorten analytic-continuation definition current reviewed
2026-09-18 07:20 zeta3 table-repair@2.0+dc0f96a0 fix analytic continuation, ordering, and exact a2 prose
2026-09-18 06:54 zeta3 table-build@2.0+395f185d sync checked prose and program examples
2026-09-18 06:48 zeta3 table-build@2.0+395f185d sync checked prose and program examples
2026-09-18 06:42 zeta3 with Codex CLI, table-bu table-build@2.0+395f185d level one cusp form L-values for weights up to 40, sorted by a_2 and computed at two precisions
2026-09-18 05:57 zeta3 table-build@2.0+395f185d claim level one cusp form L-value draft

What changed between 2026-09-18 07:20 and 2026-09-18 07:21

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 Title: Special values of the $L$-functions of level one cusp forms-Definition: Let $f_{k,i}(q)=\sum_{n\geq1}a_nq^n$ be the $i$th normalised Hecke eigenform-  in $S_k(\mathrm{SL}_2(\mathbb{Z}))$ CITE{WikiCusp}, after ordering the real embeddings-  by increasing $T_2$-eigenvalue $a_2$. This table gives the value at the critical-  integer $s$, with $1\leq s\leq k-1$, of the analytic continuation of $L(f_{k,i},s)$-  CITE{WikiL}; for $\operatorname{Re}s>(k+1)/2$ this $L$-function is $\sum_{n\geq1}a_nn^{-s}$.+Definition: For $f_{k,i}(q)=\sum_{n\geq1}a_nq^n$, the $i$th normalised Hecke eigenform+  in $S_k(\mathrm{SL}_2(\mathbb{Z}))$ CITE{WikiCusp} ordered by increasing embedded+  $a_2$, this table gives the analytically continued values $L(f_{k,i},s)$ CITE{WikiL}+  at the critical integers $1\leq s\leq k-1$. Parameters:   k: 

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