- Turkish Journal of Mathematics
- Vol: 43 Issue: 1
- Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$
Eta quotients of level $\mathbf{12}$ and weight $\mathbf{1}$
Authors : Ayşe Alaca, Şaban Alaca, Zafer Selcuk Aygin
Pages : 1-8
View : 8 | Download : 7
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :We find all the eta quotients in the spaces $M_1 \Big(\Gamma_0(12), \left(\frac{d}{\cdot}\right) \Big)$ ($d=-3, -4$) of modular forms and determine their Fourier coefficients, where $\left(\frac{d}{\cdot}\right)$ is the Legendre-Jacobi-Kronecker symbol.Keywords : Dedekind eta function, eta quotients, Eisenstein series, modular forms, cusp forms, Fourier coefficients, Fourier series