An Abel-Tauber theorem for partitions. II

DOI10.1016/0022-314X(89)90004-8zbMath0686.10036MaRDI QIDQ1262339

J. L. Geluk

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

regularly varying functionsMatuszewska indexconjugate slowly varying functionsTauberian theorems for partitionsweak asymptotic properties of general partition functions

Mathematics Subject Classification ID

Analytic theory of partitions (11P82) Tauberian theorems (40E05)

Cites Work

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• Dominated variation and related concepts and Tauberian theorems for Laplace transforms
• Asymptotically balanced functions and the asymptotic behaviour of the complementary function and the Laplace transform
• On an elementary proof of some asymptotic formulas in the theory of partitions
• A Generalization of Slowly Varying Functions
• Partition Functions Whose Logarithms are Slowly Oscillating
• An Abel-Tauber Theorem for Partitions
• Addendum to Jukes' Paper on Tauberian Theorems of Landau-Ingham Type
• An Abel-Tauber Theorem on Convolutions with the Mobius Function
• Tauberian Theorems of Landau-Ingham Type
• Asymptotische Formeln für Partitionen.
• Weak Asymptotic Properties of Partitions
• A General Asymptotic Formula for Partition Functions
• Some Tauberian Theorems Connected with the Prime Number Theorem

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