Real moments of the restrictive factor

Andrew Ledoan, Alexandru Zaharescu

Research output: Contribution to journalArticle

Abstract

Let λ be a real number such that 0 < λ < 1. We establish asymptotic formulas for the weighted real moments∑n≤x Rλ(n)(1-n/x), where R(n) = ∏kν=1 pαν-1ν is the Atanassov strong restrictive factor function and n = ∏kν=1 pανν is the prime factorization of n.

Original languageEnglish (US)
Pages (from-to)559-566
Number of pages8
JournalProceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume119
Issue number4
DOIs
StatePublished - Sep 1 2009

Keywords

  • Arithmetic functions
  • Dirichlet Series
  • Riemann zeta-function
  • Strong restrictive factor

ASJC Scopus subject areas

  • Mathematics(all)

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