Theta products and eta quotients of level 24 and weight 2

• Main Authors: Alaca, Ayşe, Alaca, Şaban, Aygin, Zafer Selcuk
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2017
• 主題: Eta quotients; Dedekind eta function
• 在線閱讀: https://hdl.handle.net/10356/84889; http://hdl.handle.net/10220/43604
• 機構: Nanyang Technological University

We find bases for the spaces M2(Γ0(24),(d⋅))M2(Γ0(24),(d⋅)) (d=1,8,12,24d=1,8,12,24) of modular forms. We determine the Fourier coefficients of all 3535 theta products φ[a1,a2,a3,a4](z)φ[a1,a2,a3,a4](z) in these spaces. We then deduce formulas for the number of representations of a positive integer...