History of Covering radii and covering densities of the classical lattices

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2026-09-06 13:33 bmatschke the arXiv number of 3 references was in the sentence, where it is text; moved to the `arxiv` field, which the page renders as a link to the abstract current reviewed
2026-09-06 01:22 bmatschke the parameter family is a word, and with no display it was written $family$ -- maths italic, the letters spaced as a product. Written as itself, the way T17 writes "constraint"
2026-09-05 12:04 zeta3 rigour details: 'is smaller than it' for 'lies below it', so the document uses neither below nor above
2026-09-05 12:01 zeta3 with Claude Code, table- normalised covering radius R/rho and covering density Theta of Z^n, the root lattices, their duals and the Leech lattice for n <= 24: exact rationals where rational, balls otherwise, from integral Gram matrices with the kissing number and determinant of every lattice checked and the covering radius
2026-09-05 12:00 zeta3 checking that this table can be written to
2026-09-05 12:00 zeta3 with Claude Code, table-build@de97e49 draft: covering radii and covering densities of the classical lattices, prose first, entries to follow from generate.py

What changed between 2026-09-06 01:22 and 2026-09-06 13:33

from line 202 (16 lines, 2 more than before) @@ -202,14 +202,16 @@
   SV:     bib: A. Schürmann and F. Vallentin, Computational approaches to lattice packing-      and covering problems, Discrete and Computational Geometry 35 (2006), 73–116;-      arXiv:math/0403272.+      and covering problems, Discrete and Computational Geometry 35 (2006), 73–116;.+    arxiv: math/0403272   SVLeech:     bib: 'A. Schürmann and F. Vallentin, Local covering optimality of lattices: Leech       lattice versus root lattice $E_8$, International Mathematics Research Notices-      2005, no. 32, 1937–1955; arXiv:math/0405441.'+      2005, no. 32, 1937–1955;.'+    arxiv: math/0405441   DSV:     bib: M. Dutour Sikirić, A. Schürmann and F. Vallentin, A generalization of Voronoi's       reduction theory and its application, Duke Mathematical Journal 142 (2008),-      127–164, Table 2; arXiv:math/0601084.+      127–164, Table 2;.+    arxiv: math/0601084   Baranovskii:     bib: E. P. Baranovskii, The perfect lattices $\Gamma(\mathfrak{A}^n)$, and the 

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