A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
Number Theory
2025-10-15 v3
Abstract
In this paper, we introduce a new function, the multiple confluent hypergeometric functions, and establish a functional equation for the -variable Euler--Zagier multiple zeta functions using it. In the case when , this functional equation includes the well-known functional equation for the Euler--Zagier double zeta functions obtained by Matsumoto.
Cite
@article{arxiv.2510.04444,
title = {A functional equation for multiple zeta functions and generalized confluent hypergeometric functions},
author = {Anju Yokoi},
journal= {arXiv preprint arXiv:2510.04444},
year = {2025}
}