Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions

Vivek V. Rane

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arXiv · 0911.1434

Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions

Vivek V. Rane

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Abstract

We give an instant evaluation of multiple Zeta function at non-positive integers by elementary methods and discuss the Fourier theory (on unit interval) of the product of Bernoulli polynomials.We also show that the polynomial expression for Hurwitz Zeta function(at non-positive integral values of the first variable) and the polynomial expression for Bernoulli polynomials are equivalent.

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BibTeX RIS

Vivek V. Rane. 2009-11-07. Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions. https://arxiv.org/abs/0911.1434

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