FOURIER EXPANSIONS WITH MODULAR FORM COEFFICIENTS

DOI10.1142/S1793042109002717zbMath1263.11054MaRDI QIDQ3406094

Ahmad El-Guindy

Publication date: 12 February 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Fourier expansionsAtkin-Lehner involutionmeromorphic modular formshyperelliptic modular curvescoefficient duality

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (10)

Zeros of weakly holomorphic modular forms of level 5 ⋮ The arithmetic of modular grids ⋮ Congruences for coefficients of modular functions ⋮ Basis for the space of weakly holomorphic modular forms in higher level cases ⋮ A basis for the space of weakly holomorphic Drinfeld modular forms of level \(T\) ⋮ Bounds for the coefficients of cusp forms for \(\Gamma_{0}(3)\) ⋮ ZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVEL 4 ⋮ Divisibility properties of coefficients of modular functions in genus zero levels ⋮ A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic ⋮ Zagier duality for level \(p\) weakly holomorphic modular forms

Cites Work

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• On the zeros and coefficients of certain weakly holomorphic modular forms
• The theta-operator and the divisors of modular forms on genus zero subgroups
• Divisors of modular forms on \(\Gamma_{0}(4)\)
• Hecke operators on \(\Gamma_0(m)\)
• The arithmetic of the values of modular functions and the divisors of modular forms
• On values of a modular form on Γ₀(N)

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