On some rational zeta series involving $\zeta(2n)$ and binomial coefficients

Cezar Lupu; Vlad Matei

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arXiv · 2409.16187

On some rational zeta series involving $\zeta(2n)$ and binomial coefficients

Cezar Lupu·Vlad Matei

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Abstract

In this note, we give an exact formula for a general family of rational zeta series involving the coefficient $\zeta(2n)$ in terms of Hurwitz zeta values. This formula generalizes two formulas from a previous paper of the first author. Our method will involve derivatives polynomials for the cotangent function.

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Cezar Lupu, Vlad Matei. 2024-09-24. On some rational zeta series involving $\zeta(2n)$ and binomial coefficients. https://arxiv.org/abs/2409.16187

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