Fourier coefficients of a class of eta quotients of weight 2

DOI10.1142/S1793042115501109zbMath1337.11025MaRDI QIDQ3458266

Zafer Selcuk Aygin, Ayşe Alaca, Şaban Alaca

Publication date: 18 December 2015

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

zbMATH Keywords

Eisenstein seriesmodular formsFourier seriesFourier coefficientsDedekind eta functioneta quotients

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (7)

Representations by sextenary quadratic forms with coefficients 1, 2, 3 and 6 and on newforms in \(S_3(\Gamma_{0}(24),\chi)\) ⋮ Spectral-spatial multi-feature-based deep learning for hyperspectral remote sensing image classification ⋮ Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables ⋮ Theta products and eta quotients of level 24 and weight 2 ⋮ Eta quotients of level 12 and weight 1 ⋮ Eta quotients, Eisenstein series and Elliptic Curves ⋮ On Eisenstein series in \(M_{2k}(\Gamma_{0}(N))\) and their applications

Cites Work

• On expressions of theta series by \(\eta\)-products
• FOURIER SERIES OF A CLASS OF ETA QUOTIENTS
• THETA FUNCTION IDENTITIES AND REPRESENTATIONS BY CERTAIN QUATERNARY QUADRATIC FORMS

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