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Asymptotic expansions of some arithmetic sums

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Publication:1311076
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DOI10.1007/BF02102126zbMath0796.11041MaRDI QIDQ1311076

A. S. Fainleib

Publication date: 8 February 1994

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

asymptotic expansionsmultiplicative functionsasymptotic formulae\(Q\)-expansionsAbel results for the Laplace transforminversion inequality for Laplace integralsmean-values of multiplicative functionsnonnegative additive functionsTauberian inequalitiesTauberian theorems for Laplace integrals


Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Tauberian theorems (11M45)





Cites Work

  • On the relative primality of \(n\) and \(f(n)\)
  • On the number of integers n such that nd(n) ≤ x




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