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arxiv: 1203.1118 · v1 · pith:3S3IBNO7new · submitted 2012-03-06 · 🧮 math.NT

Interpolation of multiple zeta and zeta-star values

Shuji Yamamoto This is my paper
classification 🧮 math.NT
keywords valuesmultiplepolynomialszetazeta-starapplicationconjecturecyclic
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We define polynomials of one variable t whose values at t=0 and 1 are the multiple zeta values and the multiple zeta-star values, respectively. We give an application to the two-one conjecture of Ohno-Zudilin, and also prove the cyclic sum formula for these polynomials.

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  1. Multiple zeta values ending with a fixed string

    math.NT 2026-06 unverdicted novelty 5.0

    A generating series is derived for the sum of multiple zeta values ending with a fixed string, implying the sum has depth bounded by the sum of the string entries.