An Abel-Tauber Theorem for Partitions

DOI10.2307/2043773zbMath0491.40004OpenAlexW4241854798MaRDI QIDQ3952545

J. L. Geluk

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043773

zbMATH Keywords

regular variationgenerating functionweighted partition function

Mathematics Subject Classification ID

Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Tauberian theorems (40E05)

Related Items (2)

An Abel-Tauber theorem for partitions. II ⋮ Abelian, Tauberian, and Mercerian theorems for arithmetic sums.

Cites Work

• A general Tauberian theorem of Landau-Ingham type
• Partition Functions Whose Logarithms are Slowly Oscillating
• AN EXTENSION OF KARAMATA'S TAUBERIAN THEOREM AND ITS CONNECTION WITH COMPLEMENTARY CONVEX FUNCTIONS
• 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
• Weak Asymptotic Properties of Partitions
• On Convolutions with the Mobius Function
• On a Special Functional Equation
• Regularly varying functions
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