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On a Family of Polynomials Related to $\Zeta(2,1)=\zeta(3)$ by Zudilin, Wadim is a scholarly article available to read on EtoBox.

What is On a Family of Polynomials Related to $\Zeta(2,1)=\zeta(3)$ about?

We give a new proof of the identity $\zeta(\{2,1\}^l)=\zeta(\{3\}^l)$ of the multiple zeta values, where $l=1,2,\dots$, using generating functions of the underlying generalized polylogarithms. In the course of study we arrive at (hypergeometric) polynomials satisfying 3-term recurrence relations, whose properties we examine and compare with analogous ones of polynomials originated from an (ex-)conjectural identity of Borwein, Bradley and Broadhurst.

Author

Zudilin, Wadim

Published

2015

Language

EN