Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$

Authors : Ayşe ALACA, Şaban ALACA, Zafer Selcuk AYGIN

Pages : 1-8

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We find all the eta quotients in the spaces $M_1 \Biginsert ignore into journalissuearticles values(\Gamma_0insert ignore into journalissuearticles values(12);, \leftinsert ignore into journalissuearticles values(\frac{d}{\cdot}\right); \Big);$ insert ignore into journalissuearticles values($d=-3, -4$); of modular forms and determine their Fourier coefficients, where $\leftinsert ignore into journalissuearticles values(\frac{d}{\cdot}\right);$ is the Legendre-Jacobi-Kronecker symbol.
Keywords : Dedekind eta function, eta quotients, Eisenstein series, modular forms, cusp forms, Fourier coefficients, Fourier series