ON THE VANISHING OF FOURIER COEFFICIENTS OF CERTAIN GENUS ZERO NEWFORMS

DOI10.1142/S1793042111004290zbMath1236.11042OpenAlexW2132051570MaRDI QIDQ3173266

Sharon Anne Garthwaite, Matthew Boylan, John J. B. Webb

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004290

zbMATH Keywords

modular formsnewformsFourier coefficientsharmonic weak Maass forms

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 (1)

On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials

Cites Work

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• Heegner divisors, \(L\)-functions and harmonic weak Maass forms
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• Algebraicity of harmonic Maass forms
• The theta-operator and the divisors of modular forms on genus zero subgroups
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Sur la lacunarité des puissances de η
• The arithmetic of the values of modular functions and the divisors of modular forms
• ARITHMETIC PROPERTIES OF CERTAIN LEVEL ONE MOCK MODULAR FORMS

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