与算术函数相关的二重狄利克雷级数II

IF 0.4 4区数学 Q4 MATHEMATICS

Kodai Mathematical Journal Pub Date : 2022-08-10 DOI:10.2996/kmj46102

Kohji Matsumoto, Hirofumi Tsumura

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引用次数: 1

摘要

本文是我们先前关于与算术函数(如von Mangoldt函数、M\ obius函数等)相关的二重狄利克雷级数的工作的延续。考虑奇异集上非正整数点的解析行为，这些点是不确定点。特别地，我们证明了它们的残基具有一定的互易律。在这种情况下，我们还纠正了以前论文中的一些不准确之处。

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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Double Dirichlet series associated with arithmetic functions II

This paper is a continuation of our previous work on double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the M\"obius function, and so on. We consider the analytic behaviour around the non-positive integer points on singularity sets which are points of indeterminacy. In particular, we show a certain reciprocity law of their residues. Also on this occasion we correct some inaccuracies in our previous paper.

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来源期刊

Kodai Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Kodai Mathematical Journal is edited by the Department of Mathematics, Tokyo Institute of Technology. The journal was issued from 1949 until 1977 as Kodai Mathematical Seminar Reports, and was renewed in 1978 under the present name. The journal is published three times yearly and includes original papers in mathematics.