On the parity result for multiple Dirichlet series

2019/09/13 by Kadota, Shin-ya · 1 citation
#11M32 #40B05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1909.06062

Abstract

In this paper, we discuss the parity result for multiple Dirichlet series which contains some special values of multiple zeta functions as special cases, Mordell--Tornheim type of multiple zeta values, zeta values of the root systems and so on. Moreover, we can give explicit expression in terms of lower series by using main theorem.

Cited by

• An explicit parity theorem for multiple polylogarithms

Related

• An explicit parity theorem for multiple zeta values via multitangent functions
• The multiple Dirichlet product and the multiple Dirichlet series
• A survey on the theory of multiple Dirichlet series with arithmetical coefficients on the numerators
• An explicit parity theorem for multiple polylogarithms
• Mordell-Tornheim multiple zeta-functions, their integral analogues, and relations among multiple polylogarithms