A partial theta function Borwein conjecture

DOI10.1007/s00026-019-00465-4zbMath1431.11031arXiv1902.04447OpenAlexW2989354549WikidataQ123242363 ScholiaQ123242363MaRDI QIDQ2299133

Michael J. Schlosser, Gaurav Bhatnagar

Publication date: 20 February 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04447

zbMATH Keywords

\(q\)-seriesnon-negativityBorwein conjecturemultiple basic hypergeometric series with MacDonald polynomial argument

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial inequalities (05A20) Special sequences and polynomials (11B83) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (3)

On sums of coefficients of Borwein type polynomials over arithmetic progressions ⋮ On the infinite Borwein product raised to a positive real power ⋮ An analytic proof of the Borwein conjecture

Cites Work

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• Lattice paths and positive trigonometric sums
• The generalized Borwein conjecture. II: Refined \(q\)-trinomial coefficients
• A triple product identity for Macdonald polynomials
• On a conjecture of Peter Borwein
• The Borwein conjecture and partitions with prescribed hook differences
• Positivity preserving transformations for 𝑞-binomial coefficients
• $q$-Selberg integrals and Macdonald polynomials

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