Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms

DOI10.1090/S0002-9939-2014-11909-5zbMath1373.11036arXiv1204.1315MaRDI QIDQ5418502

Xiannan Li

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

zbMATH Keywords

Fourier coefficientadditive characterMass formsymmetric square lift

Mathematics Subject Classification ID

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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

This page was built for publication: Additive twists of Fourier coefficients of 𝐺𝐿(3) Maass forms