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).
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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 -