Where Do the Maximum Absolute q-Series Coefficients of (1 − q)(1 − q2)(1 − q3)…(1 − qn − 1)(1 − qn) Occur?

DOI10.1080/10586458.2020.1776177zbMath1512.05054arXiv1911.03707OpenAlexW3040502509MaRDI QIDQ6042964

Alexander Berkovich, Ali Kemal Uncu

Publication date: 4 May 2023

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

Full work available at URL: https://arxiv.org/abs/1911.03707

zbMATH Keywords

approximationhigh-performance computingexperimental mathematicsEuler pentagonal number theorem\(q\)-Pochhammer symbolMACH2

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Integer programming (90C10) (q)-calculus and related topics (05A30) Evaluation of number-theoretic constants (11Y60) Calculation of integer sequences (11Y55)

Related Items (1)

A Unified Approach to Unimodality of Gaussian Polynomials

Cites Work

• Unnamed Item
• On some polynomials and series of Bloch–Pólya type
• AN ESTIMATE FOR A RESTRICTED PARTITION FUNCTION
• PROOF OF A CONJECTURE OF SUDLER'S
• Two Algebraic Identities and the Unboundedness of a Restricted Partition Function

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