Theta products and eta quotients of level 24 and weight 2

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...

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Bibliographic Details
Main Authors: Alaca, Ayşe, Alaca, Şaban, Aygin, Zafer Selcuk
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2017
Subjects:
Online Access:https://hdl.handle.net/10356/84889
http://hdl.handle.net/10220/43604
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Institution: Nanyang Technological University
Language: English