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December 2008 Local variation of Euler products
Hugh L. Montgomery, Robert C. Vaughan
Funct. Approx. Comment. Math. 39(2): 273-288 (December 2008). DOI: 10.7169/facm/1229696576

Abstract

We determine how big an Euler product can be at $s_2$, when its size at $s_1$ is known, and apply this via Halász's method to bound the mean value of a multiplicative function in terms of the size of the generating Dirichlet series.

Citation

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Hugh L. Montgomery. Robert C. Vaughan. "Local variation of Euler products." Funct. Approx. Comment. Math. 39 (2) 273 - 288, December 2008. https://doi.org/10.7169/facm/1229696576

Information

Published: December 2008
First available in Project Euclid: 19 December 2008

zbMATH: 1245.11102
MathSciNet: MR2490741
Digital Object Identifier: 10.7169/facm/1229696576

Subjects:
Primary: 11N37
Secondary: 11M41

Rights: Copyright © 2008 Adam Mickiewicz University

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Vol.39 • No. 2 • December 2008
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