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arXiv · 2512.23668

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

Shin-ichiro Seki
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Abstract

In this paper, we give a new proof of Hirose--Sato's formula for the expansion of $\zeta(\{2\}^{a_1-1},3,\dots,\{2\}^{a_r-1},3,\{2\}^{c-1},1,\{2\}^{b_1},\dots, 1,\{2\}^{b_s})$ in the Hoffman basis, using the drop 1 relation.

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Shin-ichiro Seki. 2025-12-29. Diamond lift of Hirose--Sato's formula involving the Hoffman basis. https://arxiv.org/abs/2512.23668

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