A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
Year: 2025
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Yokoi, Anju
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4416330127
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