Local variation of euler products

Hugh L. Montgomery, Robert Charles Vaughan

Research output: Contribution to journalArticle

Abstract

We determine how big an Euler product can be at s2, when its size at s1 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.

Original languageEnglish (US)
Pages (from-to)273-288
Number of pages16
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume39
Issue number2
DOIs
StatePublished - Jan 1 2008

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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