Abelian, Tauberian, and Mercerian theorems for arithmetic sums.

DOI10.1006/JMAA.2000.6971zbMath1145.11328OpenAlexW1986012069MaRDI QIDQ1589708

Akihiko Inoue, Nicholas H. Bingham

Publication date: 13 March 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/18902

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Tauberian theorems (40E05) Rate of growth of arithmetic functions (11N56) Tauberian theorems (11M45)

Related Items (3)

New extensions of some classical theorems in number theory ⋮ Logarithmic moving averages ⋮ Tauberian and Mercerian theorems for systems of kernels

Cites Work

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• Tauberian theorems and the central limit theorem
• On the average prime factor of an integer and some related problems
• Some Tauberian theorems related to coin tossing
• Arithmetic characterization of regularly varying functions
• A new characteristic of the identity function
• Extension of the Drasin-Shea-Jordan theorem
• Tauberian and Mercerian theorems for systems of kernels
• An Abel-Tauber Theorem for Partitions
• An Abel-Tauber Theorem on Convolutions with the Mobius Function
• Ratio Mercerian Theorems with Applications to Hankel and Fourier Transforms
• What is the Laplace Transform?

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