Local variation of euler products

Hugh L. Montgomery, Robert C. Vaughan

Research output: Contribution to journalArticlepeer-review


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
Issue number2
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • General Mathematics


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