关于多重DIRICHLET级数的奇偶性结果

Pub Date : 2019-09-13 DOI:10.2206/kyushujm.76.1
Shin-ya Kadota
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引用次数: 0

摘要

本文讨论了包含多个zeta函数的某些特殊值的多重Dirichlet级数的奇偶性结果,作为特例,讨论了多重zeta值的Mordell—Tornheim型,根的zeta值等。并利用主要定理给出了下级数的显式表达式。
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ON THE PARITY RESULT FOR MULTIPLE DIRICHLET SERIES
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.
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