Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms
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Publication:5418502
DOI10.1090/S0002-9939-2014-11909-5zbMath1373.11036arXiv1204.1315MaRDI QIDQ5418502
Publication date: 4 June 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.1315
Other groups and their modular and automorphic forms (several variables) (11F55) Other Dirichlet series and zeta functions (11M41) Fourier coefficients of automorphic forms (11F30)
Related Items (4)
Non-linear additive twists of \(\operatorname{GL}(3) \times \operatorname{GL}(2)\) and \(\operatorname{GL}(3)\) Maass forms ⋮ The exponential sums related to cusp forms in the level aspect ⋮ Resonance of automorphic forms for 𝐺𝐿(3) ⋮ Weight aspect exponential sums for Fourier coefficients of cusp forms
Cites Work
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- Additive twists of Fourier coefficients of symmetric-square lifts
- Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
- Second order average estimates on local data of cusp forms
- Voronoi formulas on GL(n)
- Upper Bounds on L-Functions at the Edge of the Critical Strip
- Cancellation in additively twisted sums on GL(n)
- Automorphic Forms and L-Functions for the GroupGL(n, R)
- Exponential sums with multiplicative coefficients
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