Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions

Leonid G. Fel; Takao Komatsu

arxiv: 1711.00353 · v1 · pith:JXVX7YHYnew · submitted 2017-11-01 · 🧮 math.NT · math.AC

Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions

Leonid G. Fel , Takao Komatsu This is my paper

classification 🧮 math.NT math.AC

keywords gapsgeneratedhurwitzidentitiesintegersnumericalsemigroupsseries

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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 new identities for the Hurwitz zeta function.

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Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions

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