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arXiv · 1506.04546

Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients

Ole Fredrik Brevig·Winston Heap
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Abstract

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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BibTeXRIS

Ole Fredrik Brevig, Winston Heap. 2015-06-15. Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients. https://doi.org/10.1016/j.exmath.2015.10.005

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