Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients

Ole Fredrik Brevig; Winston Heap

arxiv: 1506.04546 · v2 · pith:NDX74MHCnew · submitted 2015-06-15 · 🧮 math.NT · math.CV

Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients

Ole Fredrik Brevig , Winston Heap This is my paper

classification 🧮 math.NT math.CV

keywords multiplicativeabscissascoefficientsconvergencedirichletseriesabsolutecompletely

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This note deals with the relationship between the abscissas of simple, uniform and absolute convergence for the Dirichlet series $f(s) = \sum_{n=1}^\infty a_n n^{-s}$, when the coefficients $a_n$ are either multiplicative or completely multiplicative.

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Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients

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