Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions
Number Theory
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.0911.1434,
title = {Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions},
author = {Vivek V. Rane},
journal= {arXiv preprint arXiv:0911.1434},
year = {2009}
}
Comments
10 pages