Decay of mean-values of multiplicative functions

1999/11/12 by Andrew Granville, K. Soundararajan, Granville, Andrew +1
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/9911246

openalex publication_date 1999/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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)|.

Citations

• Hilbert's Inequality

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