Generalized moments of additive functions

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17 Citations (Scopus)

Abstract

Elliott's generalization of the Turán-Kubilius inequality is further generalized by establishing an upper bound for the sum Σn≤xF({divides}f(n) - A{divides}), where f is a complex-valued additive arithmetical function, A an arbitrary number and F an arbitrary nonnegative-valued increasing function. A connected problem for group-valued functions is also considered.

Original languageEnglish
Pages (from-to)27-33
Number of pages7
JournalJournal of Number Theory
Volume18
Issue number1
DOIs
Publication statusPublished - Feb 1984

ASJC Scopus subject areas

  • Algebra and Number Theory

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