On a partition identity of Lehmer

DOI10.1016/j.disc.2022.112979zbMath1491.05021arXiv2109.00609OpenAlexW3197774869MaRDI QIDQ2144576

Boya Wen, Amanda Folsom, Isabella Negrini, Chi-Yun Hsu, Hannah Burson, Cristina M. Ballantine

Publication date: 14 June 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.00609

zbMATH Keywords

partitions\(q\)-seriesBeck-type identitiesLehmer identity

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Uses Software

• OEIS

Cites Work

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• Combinatorial proof of a theorem on partitions into an even or odd number of parts
• Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem
• Beck-type companion identities for Franklin's identity via a modular refinement
• Combinatorial proofs of two Euler-type identities due to Andrews
• Partitions associated with two fifth-order mock theta functions and Beck-type identities
• Almost partition identities

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