Shifted convolution of cusp-forms with \(\theta \)-series

DOI10.1007/s11139-015-9678-8zbMath1403.11037OpenAlexW2080733313MaRDI QIDQ5890619

Guangshi Lü, Jie Wu, Zhai, Wenguang

Publication date: 4 May 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9678-8

zbMATH Keywords

theta seriescusp formshifted convolution

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) Holomorphic modular forms of integral weight (11F11)

Related Items (5)

Shifted convolution sums for higher rank groups ⋮ A note on shifted convolution of cusp-forms with \(\theta\)-series ⋮ Shifted convolution sums for \(\mathrm{SL}(m)\) ⋮ Sums of \(k\)-th powers and the Whittaker-Fourier coefficients of automorphic forms ⋮ Jutila's circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums

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