Vytas Zacharovas
Abstract
The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions on natural numbers. Key words: Ingham summability, Tauberian theorems, multiplicative functions. 1
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The aim of this work is to prove a Tauberian theorem for the Ingham summability method. The Tauberian theorem we prove can be used to analyze asymptotics of mean values of multiplicative functions on natural numbers. Key words: Ingham summability, Tauberian theorems, multiplicative functions. 1
Key concepts: Abelian and tauberian theorems, Mathematics, Multiplicative function, Borel summation, Discrete mathematics, Pure mathematics, Calculus (dental), Divergent series