Sign changes of coefficients of powers of the infinite Borwein product

DOI10.1016/j.aam.2022.102405OpenAlexW3188155918MaRDI QIDQ2168560

Liuquan Wang

Publication date: 31 August 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.03932

zbMATH Keywords

asymptoticstheta functionseta productssign changesvanishing coefficientshauptmodul

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Modular and automorphic functions (11F03) Inequalities for sums, series and integrals (26D15) Fourier coefficients of automorphic forms (11F30) Other analytical inequalities (26D20)

Related Items (1)

Partitions with multiplicities associated with divisor functions

Cites Work

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• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• Asymptotics for the Fourier coefficients of eta-quotients
• On a conjecture of Peter Borwein
• Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols
• Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5
• Some Cubic Modular Identities of Ramanujan
• Sign-change of the Fourier coefficients of a Hauptmodul for Γ0(2)
• FORMULAS FOR THE FOURIER COEFFICIENTS OF SOME GENUS ZERO MODULAR FUNCTIONS
• A Cubic Counterpart of Jacobi's Identity and the AGM
• Some inequalities for Garvan's bicrank function of 2-colored partitions

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