Shifted Convolution Sums of GL3 Cusp Forms with θ-Series

DOI10.1093/imrn/rnw083zbMath1405.11049arXiv1509.07644OpenAlexW2413382225MaRDI QIDQ4611919

Qing Feng Sun

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07644

zbMATH Keywords

Hecke-Maass cusp formsnormalized Fourier coefficientsshifted convolution problems

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)

Related Items (6)

Averages of shifted convolution sums for \(\mathrm{GL}(3)\times \mathrm{GL}(2)\) ⋮ Shifted convolution sums for higher rank groups ⋮ THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS ⋮ Sums of \(k\)-th powers and Fourier coefficients of cusp forms ⋮ Sums of \(k\)-th powers and the Whittaker-Fourier coefficients of automorphic forms ⋮ Shifted convolution sums of \(\mathrm{GL}(m)\) cusp forms with \(\Theta\)-series

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