Interpolation of multiple zeta and zeta-star values

By Shuji Yamamoto. 2012

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We define polynomials of one variable t whose values at t=0and1 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 sum formula and the cyclic sum formula for these polynomials.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/f8acb58e2a1c4acb8dbe7056f3a5a74586c39b3a