A Sum of Negative Degrees of the Gaps Values in Two-Generated Numerical Semigroups and Identities for the Hurwitz Zeta Function

Leonid G. Fel, Takao Komatsu, Ade Irma Suriajaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We derive an explicit expression for an inverse power series over the gaps values of numerical semigroups generated by two integers. It implies the multiplication theorem for the Hurwitz zeta function ζ(n, q).

Original languageEnglish
Title of host publicationCombinatorial and Additive Number Theory IV, CANT 2019 and 2020
EditorsMelvyn B. Nathanson
PublisherSpringer
Pages151-160
Number of pages10
ISBN (Print)9783030679958
DOIs
Publication statusPublished - 2021
EventWorkshops on Combinatorial and Additive Number Theory, CANT 2019 and 2020 - Virtual, Online
Duration: Jun 1 2020Jun 5 2020

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume347
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceWorkshops on Combinatorial and Additive Number Theory, CANT 2019 and 2020
CityVirtual, Online
Period6/1/206/5/20

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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