ON THE PARITY RESULT FOR MULTIPLE DIRICHLET SERIES

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2019-09-13 DOI:10.2206/kyushujm.76.1

Shin-ya Kadota

引用次数: 0

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.

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关于多重DIRICHLET级数的奇偶性结果

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.