On some polynomials and series of Bloch–Pólya type

DOI10.1090/proc/13982zbMath1384.05037arXiv1705.07504OpenAlexW2963577794MaRDI QIDQ4636737

Alexander Berkovich, Ali Kemal Uncu

Publication date: 20 April 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07504

zbMATH Keywords

\(q\)-binomial theorem\(q\)-series identitiespartition theoremspentagonal numbersBloch-Pólya type series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (2)

Where Do the Maximum Absolute q-Series Coefficients of (1 − q)(1 − q²)(1 − q³)…(1 − q^n − 1)(1 − qⁿ) Occur? ⋮ A Unified Approach to Unimodality of Gaussian Polynomials

Cites Work

• Unnamed Item
• Extensions of the Bloch-Pólya theorem on the number of real zeros of polynomials
• Some elementary partition inequalities and their implications
• Euler's Pentagonal Number Theorem
• Littlewood-Type Problems on [0,1]
• Polynomials with Height 1 and Prescribed Vanishing at 1
• On Polynomials ∑±nzm,∑eαminzm,z=e0i
• AN ESTIMATE FOR A RESTRICTED PARTITION FUNCTION
• A note on a new family of identities
• Two Algebraic Identities and the Unboundedness of a Restricted Partition Function

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