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We show explicit expressions for an inverse power series over the gaps values of numerical semigroups generated by two and three integers. As an application, a set of identities of the Hurwitz zeta functions is derived.

az eszterházy károly tanárképző főiskola tudományos közleményei. tanulmányok a matematikai tudományok köréből/az eszterházy károly főiskola tudományos közleményei. tanulmányok a matematikai tudományok köréből/annales mathematicae et informaticae

A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups