A Tauberian theorem for Ingham summation method

Details A Tauberian theorem for Ingham summation method A Tauberian theorem for Ingham summation method

2009-07-27

arxiv.org/abs/0907.4534v2

Acta Arithmetica, 148 (2011), 31-54

Mathematics

Number Theory

25 pages

Scientific paper

10.4064/aa148-1-3

The aim of this work is to prove a Tauberian theorem for the Ingham
summability method. The Tauberian theorem we prove is then applied to analyze
asymptotics of mean values of multiplicative functions on natural numbers.

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