A Tauberian theorem for Ingham summation method
Number Theory
2011-04-12 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0907.4534,
title = {A Tauberian theorem for Ingham summation method},
author = {Vytas Zacharovas},
journal= {arXiv preprint arXiv:0907.4534},
year = {2011}
}
Comments
25 pages