TY - GEN

T1 - A Sum of Negative Degrees of the Gaps Values in Two-Generated Numerical Semigroups and Identities for the Hurwitz Zeta Function

AU - Fel, Leonid G.

AU - Komatsu, Takao

AU - Suriajaya, Ade Irma

N1 - Funding Information:
Acknowledgements The main part of the paper was written during the stay of one of the authors (LGF) at the School of Mathematics and Statistics of Wuhan University and its hospitality is highly appreciated. The research was supported in part (LGF) by the Kamea Fellowship and JSPS KAKENHI Grant Number 18K13400, and was in part conducted (AIS) under RIKEN Special Postdoctoral Researcher program. The present paper is an extended version of the preprint [6] posted on arXiv.org.
Publisher Copyright:
© 2021, The Author(s), under exclusive license to Springer Nature Switzerland AG.

PY - 2021

Y1 - 2021

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=85115120977&partnerID=8YFLogxK

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U2 - 10.1007/978-3-030-67996-5_8

DO - 10.1007/978-3-030-67996-5_8

M3 - Conference contribution

AN - SCOPUS:85115120977

SN - 9783030679958

T3 - Springer Proceedings in Mathematics and Statistics

SP - 151

EP - 160

BT - Combinatorial and Additive Number Theory IV, CANT 2019 and 2020

A2 - Nathanson, Melvyn B.

PB - Springer

T2 - Workshops on Combinatorial and Additive Number Theory, CANT 2019 and 2020

Y2 - 1 June 2020 through 5 June 2020

ER -