Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Double Dirichlet series associated with arithmetic functions
Kohji MatsumotoAkihiko NawashiroHirofumi Tsumura
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ジャーナル 認証あり

2021 年 44 巻 3 号 p. 437-456

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We consider double Dirichlet series associated with arithmetic functions such as the von Mangoldt function, the Möbius function, and so on. We show analytic continuations of them by use of the Mellin-Barnes integral, and determine the location of singularities. Furthermore we observe their "reverse" values at non-positive integer points.

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© 2021 Department of Mathematics, Tokyo Institute of Technology
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