On shifted convolution of half-integral weight cusp forms

DOI10.1007/s11425-010-4038-zzbMath1229.11073OpenAlexW2032980210MaRDI QIDQ625848

Wenzhi Luo

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4038-z

zbMATH Keywords

Poincaré serieshalf-integral weight cusp formsshifted convolutionPoisson-Voronoi summation formulas

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 (2)

Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Fourier coefficients of modular forms of half-integral weight
• Bilinear forms in the Fourier coefficients of half-integral weight cusp forms and sums over primes
• On exponential sums involving the Fourier coefficients of Maass wave forms.
• Sums of Hecke Eigenvalues over Values of Quadratic Polynomials
• Zeros of Hecke L-functions associated with cusp forms

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