A functional equation for multiple zeta functions and generalized confluent hypergeometric functions

2025/10/06 by Yokoi, Anju
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2510.04444

Abstract

In this paper, we introduce a new function, the multiple confluent hypergeometric functions, and establish a functional equation for the r-variable Euler--Zagier multiple zeta functions using it. In the case when r=2, this functional equation includes the well-known functional equation for the Euler--Zagier double zeta functions obtained by Matsumoto.

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