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Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients

Published 15 Jun 2015 in math.NT and math.CV | (1506.04546v2)

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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