A sum of negative degrees of the gaps values in two-generated numerical semigroups and identities for the Hurwitz zeta function
Leonid Fel (Technion -- Israel Institute of Technology)
Abstract: We derive an explicit expression for an inverse power series over the gaps values of numerical semigroups generated by two integers. It implies a set of identities for the Hurwitz zeta function $\zeta(n,q)$ including the multiplication theorem for $\zeta(n,q)$.
Joint work with Takao Komatsu and Ade Irma Suriajaya.
number theory
Audience: researchers in the topic
Combinatorial and additive number theory (CANT 2021)
Series comments: This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.
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| Organizer: | Mel Nathanson* |
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