On the average order of a class of arithmetical functions, II

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Abstract

We consider a large class of arithmetical functions generated by Dirichlet series satisfying a very general functional equation with gamma factors. In our previous paper we obtained a "one-sided" Ω result, but here a "two-sided" Ω result is obtained in most cases. Unfortunately, the method fails in the classical circle and Dirichlet divisor problems.

Original languageEnglish (US)
Pages (from-to)288-305
Number of pages18
JournalJournal of Number Theory
Volume3
Issue number3
DOIs
StatePublished - Aug 1971

ASJC Scopus subject areas

  • Algebra and Number Theory

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