Some new positive observations

DOI10.1016/j.disc.2020.112040zbMath1447.05022arXiv2002.07986OpenAlexW3038868039MaRDI QIDQ2198381

Alexander Berkovich

Publication date: 10 September 2020

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

Full work available at URL: https://arxiv.org/abs/2002.07986

zbMATH Keywords

Rogers-Ramanujan type identitiesBressoud's conjecturespositivity-preserving transformationsterminating \(q\)-series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (4)

On sums of coefficients of Borwein type polynomials over arithmetic progressions ⋮ Bressoud's identities for even moduli. New companions and related positivity results ⋮ Enumerative combinatorics. Abstracts from the workshop held December 11--17, 2022 ⋮ An analytic proof of the Borwein conjecture

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
• Positivity preserving transformations for 𝑞-binomial coefficients
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Some Identities in Combinatory Analysis

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