Beck-type companion identities for Franklin's identity via a modular refinement
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Publication:2032905
DOI10.1016/j.disc.2021.112480zbMath1482.05016arXiv2101.06260OpenAlexW3172641116MaRDI QIDQ2032905
Amanda Welch, Cristina M. Ballantine
Publication date: 14 June 2021
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.06260
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)
Related Items (6)
The dual form of Beck type identities ⋮ On a partition identity of Lehmer ⋮ Beck-type identities: new combinatorial proofs and a modular refinement ⋮ Refinements of Beck-type partition identities ⋮ A new generalization of the minimal excludant arising from an analogue of Franklin's identity ⋮ A reversal of Schur's partition theorem
Uses Software
Cites Work
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- Combinatorial proofs and generalizations of conjectures related to Euler's partition theorem
- Combinatorial proofs of two Euler-type identities due to Andrews
- Generalization of two problems of George Beck
- Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities
- Composition analogues of Beck's conjectures on partitions
- Partitions associated with two fifth-order mock theta functions and Beck-type identities
- Almost partition identities
- Two Theorems of Euler and a General Partition Theorem
- Partition Theorems for Euler Pairs
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