Identities for Bernoulli polynomials related to multiple Tornheim zeta functions
Number Theory
2019-03-29 v1 Classical Analysis and ODEs
Abstract
We show that each member of a doubly infinite sequence of highly nonlinear expressions of Bernoulli polynomials, which can be seen as linear combinations of certain higher-order convolutions, is a multiple of a specific product of linear factors. The special case of Bernoulli numbers has important applications in the study of multiple Tornheim zeta functions. The proof of the main result relies on properties of Eulerian polynomials and higher-order Bernoulli polynomials.
Cite
@article{arxiv.1903.11759,
title = {Identities for Bernoulli polynomials related to multiple Tornheim zeta functions},
author = {Karl Dilcher and Armin Straub and Christophe Vignat},
journal= {arXiv preprint arXiv:1903.11759},
year = {2019}
}
Comments
17 pages