Diamond lift of Hirose--Sato's formula involving the Hoffman basis

Fuente: arXiv
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Autore principale: Seki, Shin-ichiro
Natura: Preprint
Pubblicazione: 2025
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author Seki, Shin-ichiro
author_facet Seki, Shin-ichiro
contents In this paper, we give a new proof of Hirose--Sato's formula for the expansion of $ζ(\{2\}^{a_1-1},3,\dots,\{2\}^{a_r-1},3,\{2\}^{c-1},1,\{2\}^{b_1},\dots, 1,\{2\}^{b_s})$ in the Hoffman basis, using the drop 1 relation.
format Preprint
id arxiv_https___arxiv_org_abs_2512_23668
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Diamond lift of Hirose--Sato's formula involving the Hoffman basis
Seki, Shin-ichiro
Number Theory
11M32
In this paper, we give a new proof of Hirose--Sato's formula for the expansion of $ζ(\{2\}^{a_1-1},3,\dots,\{2\}^{a_r-1},3,\{2\}^{c-1},1,\{2\}^{b_1},\dots, 1,\{2\}^{b_s})$ in the Hoffman basis, using the drop 1 relation.
title Diamond lift of Hirose--Sato's formula involving the Hoffman basis
topic Number Theory
11M32
url https://arxiv.org/abs/2512.23668