EXPLICIT FORMULAS FOR THE FOURIER COEFFICIENTS OF A CLASS OF ETA QUOTIENTS

DOI10.1142/S179304211250145XzbMath1278.11048OpenAlexW2146111114MaRDI QIDQ4909135

Ernest X. W. Xia, Olivia X. M. Yao, Jing Jin

Publication date: 12 March 2013

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

Full work available at URL: https://doi.org/10.1142/s179304211250145x

zbMATH Keywords

Fourier coefficientsdivisor functionseta function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Dedekind eta function, Dedekind sums (11F20)

Related Items (2)

Unnamed Item ⋮ Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients

Cites Work

• Modular forms and representations of symmetric groups
• Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)
• Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
• Affine root systems and Dedekind's \(\eta\)-function
• FOURIER SERIES OF A CLASS OF ETA QUOTIENTS
• Eta Products and Theta Series Identities
• SOME IDENTITIES IN COMBINATORIAL ANALYSIS
• On the two-dimensional theta functions of the Borweins
• A systematic way of converting infinite series into infinite products
• Some eta-identities arising from theta series.
• Further relations amongst infinite series and products. II. The evaluation of three-dimensional lattice sums

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