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Journals / Turkish Journal of Mathematics / 2019 / Cilt: 43 - Sayı: 1

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

Ayşe ALACA,Şaban ALACA,Zafer Selcuk AYGIN

Pages
1–8
DOI
—

Özet

Öz 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: Anahtar Kelimeler Dedekind eta function, eta quotients, Eisenstein series, modular forms, cusp forms, Fourier coefficients, Fourier series