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arXiv · 1711.00353

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
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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 new identities for the Hurwitz zeta function.

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Leonid G. Fel, Takao Komatsu. 2017-11-01. Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions. https://arxiv.org/abs/1711.00353

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