On the Borwein conjecture

DOI10.1142/S1793042120500542zbMath1469.11410arXiv1512.01191OpenAlexW2989361802WikidataQ123262619 ScholiaQ123262619MaRDI QIDQ5111927

Jiyou Li

Publication date: 27 May 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01191

zbMATH Keywords

partitionspositivityBorwein conjecturesubsets counting

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Estimates on character sums (11L40)

Related Items (4)

On sums of coefficients of Borwein type polynomials over arithmetic progressions ⋮ A new sieve for restricted multiset counting ⋮ An analytic proof of the Borwein conjecture ⋮ On sums of coefficients of polynomials related to the Borwein conjectures

Cites Work

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• A new sieve for distinct coordinate counting
• Counting subset sums of finite Abelian groups
• Borwein's conjecture on average over arithmetic progressions
• Partitions with prescribed hook differences
• The generalized Borwein conjecture. II: Refined \(q\)-trinomial coefficients
• On a conjecture of Peter Borwein
• The Borwein conjecture and partitions with prescribed hook differences
• An analytic proof of the Borwein conjecture

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