PED and POD partitions: combinatorial proofs of recurrence relations

DOI10.1016/j.disc.2022.113259zbMath1506.05017OpenAlexW4309329010MaRDI QIDQ2111918

Amanda Welch, Cristina M. Ballantine

Publication date: 17 January 2023

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

Full work available at URL: https://doi.org/10.1016/j.disc.2022.113259

zbMATH Keywords

partitionsinvolutionstheta functionsbijectionsrecurrences

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (1)

6-regular partitions: new combinatorial properties, congruences, and linear inequalities

Uses Software

• OEIS

Cites Work

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• New relations for the number of partitions with distinct even parts
• A combinatorial proof of Jacobi's triple product identity
• Combinatorial proof of a theorem on partitions into an even or odd number of parts
• Beck-type identities for Euler pairs of order \(r\)
• The minimal excludant and colored partitions
• On certain unimodal sequences and strict partitions
• Two theorems of Gauss and allied identities proved arithmetically
• Combinatorial proof of the minimal excludant theorem
• Partitions With Distinct Evens
• Bijecting Euler's Partitions-Recurrence
• Overpartitions
• Partition Theorems for Euler Pairs

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