Periodicity of signs of Fourier coefficients of eta-quotients

DOI10.1016/j.jmaa.2011.07.021zbMath1314.11027OpenAlexW2050763170MaRDI QIDQ641660

Byungchan Kim

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.07.021

zbMATH Keywords

circle methodinteger partitionseta-quotientsperiodicity for the sign changes

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Fourier coefficients of automorphic forms (11F30) Analytic theory of partitions (11P82)

Related Items (5)

On a generalized crank for \(k\)-colored partitions ⋮ Sign-periodicity of traces of singular moduli ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ Asymptotics for the Fourier coefficients of eta-quotients ⋮ On a conjecture of Soon-Yi Kang on a certain partition rank difference

Cites Work

• Unnamed Item
• Identities in combinatorics. III: Further aspects of ordered set sorting
• On the signs of Fourier coefficients of cusp forms
• The ranks and cranks of partitions moduli 2, 3, and 4
• On the first sign change of Hecke eigenvalues of newforms
• Some asymptotics for cranks
• Sign changes of coefficients of half integral weight modular forms
• The first sign change of Fourier coefficients of cusp forms
• Mock Jacobi forms in basic hypergeometric series
• Dyson’s crank of a partition
• Resolution of a conjecture of Andrews and Lewis involving cranks of partitions

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