Zeta functions interpolating the convolution of the Bernoulli polynomials
Number Theory
2016-03-15 v1
Abstract
We prove nonlinear relation on multiple Hurwitz-Riemann zeta functions. Using analytic continuation of these multiple Hurwitz-Riemann zeta function, we quote at negative integers Euler's nonlinear relation for generalized Bernoulli polynomials and numbers.
Cite
@article{arxiv.1603.03913,
title = {Zeta functions interpolating the convolution of the Bernoulli polynomials},
author = {Abdelmejid Bayad and Takao Komatsu},
journal= {arXiv preprint arXiv:1603.03913},
year = {2016}
}