Remarks on number theory over additive arithmetical semigroups

UDC 511 We deal with additive arithmetical semigroups and present old and new proofs for the distribution of zeros of the corresponding $\zeta$-functions.  We use these results to prove prime number theorems and a Selberg formula for such semigroups.

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Bibliographic Details
Date:2020
Main Authors: Indlekofer, K.-H., Kaya, E.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6042
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal