Bressoud's identities for even moduli. New companions and related positivity results

DOI10.1016/j.disc.2022.113104zbMath1497.05017arXiv2111.13994OpenAlexW3215092798MaRDI QIDQ2675862

Alexander Berkovich

Publication date: 26 September 2022

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

Full work available at URL: https://arxiv.org/abs/2111.13994

zbMATH Keywords

positivity-preserving transformationsBressoud conjecturesBurge transformationseven moduli identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

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• POLYNOMIAL IDENTITIES OF THE ROGERS-RAMANUJAN TYPE
• AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION
• Some identities for terminating q-series
• A BURGE TREE OF VIRASORO-TYPE POLYNOMIAL IDENTITIES
• Positivity preserving transformations for 𝑞-binomial coefficients
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

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