On a Tauberian theorem of Ingham and Euler-Maclaurin summation

DOI10.1007/s11139-020-00377-5arXiv1910.03036OpenAlexW3163127308MaRDI QIDQ6158136

Karl Mahlburg, Kathrin Bringmann, Chris Jennings-Shaffer

Publication date: 31 May 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03036

zbMATH Keywords

partitionsasymptoticTauberian theoremEuler-Maclaurin summation formula

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Analytic theory of partitions (11P82) Tauberian theorems (11M45)

Related Items (5)

Sign changes in statistics for plane partitions ⋮ Parity bias for the partitions with bounded number of appearances of the part of size 1 ⋮ Seaweed algebras and the index statistic for partitions ⋮ Asymptotic equidistribution for partition statistics and topological invariants ⋮ The asymptotic distribution of the rank for unimodal sequences

Cites Work

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• Congruences and asymptotics of Andrews' singular overpartitions
• On the subpartitions of the ordinary partitions. II
• Overpartitions into distinct parts without short sequences
• On \(t\)-core towers and \(t\)-defects of partitions
• Asymptotics and congruences for partition functions which arise from finitary permutation groups
• Integer partitions, probabilities and quantum modular forms
• Some useful theorems for asymptotic formulas and their applications to skew plane partitions and cylindric partitions
• Über einige Taubersche Sätze, deren Asymptotik von Exponentialcharakter ist
• A Tauberian theorem for partitions
• Euler-Boole Summation Revisited
• Asymptotic Partition Formulae: (II) Weighted Partitions
• Peak positions of strongly unimodal sequences
• STACKS (II)
• On the Partition Function p (n )

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