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On a family of polynomials related to $\...
Zudilin, Wadim...
On a family of polynomials related to $\zeta(2,1)=\zeta(3)$ by Zudilin, Wadim ( Author )
N.A
29-04-2015
We give a new proof of the identity ζ({2,1}l)=ζ({3}l) of the multiple zeta values, where l=1,2,…, 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.
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English
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MYR 0.00
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https://arxiv.org/abs/1504.07696
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