A further look at the truncated pentagonal number theorem

DOI10.4064/aa180718-6-11zbMath1455.11134arXiv1808.00227OpenAlexW2963846869WikidataQ127727591 ScholiaQ127727591MaRDI QIDQ5226458

Shane Chern

Publication date: 31 July 2019

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00227

zbMATH Keywords

partitionsasymptoticsEuler's pentagonal number theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Related Items (7)

Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Truncated versions of three identities of Euler and Gauss ⋮ Linear inequalities concerning partitions into distinct parts ⋮ Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair ⋮ Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ A truncated theta identity of Gauss and overpartitions into odd parts ⋮ New truncated theorems for three classical theta function identities

Cites Work

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• The truncated pentagonal number theorem
• Truncated theta series and a problem of Guo and Zeng
• Two truncated identities of Gauss
• Asymptotic Partition Formulae: (II) Weighted Partitions

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