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Decay of mean-values of multiplicative functions

Andrew Granville·K. Soundararajan
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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)|.

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Andrew Granville, K. Soundararajan. 1999-11-12. Decay of mean-values of multiplicative functions. https://arxiv.org/abs/math/9911246

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