Decay of mean-values of multiplicative functions
Number Theory
2009-09-25 v1
Abstract
Given a multiplicative function f satisfying |f(n)| <= 1 for all n, the authors study the problem of obtaining explicit upper bounds on the mean-value 1/x |sum_{n <= x} f(n)|.
Cite
@article{arxiv.math/9911246,
title = {Decay of mean-values of multiplicative functions},
author = {Andrew Granville and K. Soundararajan},
journal= {arXiv preprint arXiv:math/9911246},
year = {2009}
}
Comments
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