Symplectic Kloosterman sums and Poincaré series

DOI10.1007/s11139-021-00498-5zbMath1489.11114arXiv2006.03036OpenAlexW3204262412MaRDI QIDQ2075074

Siu Hang Man

Publication date: 11 February 2022

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

Full work available at URL: https://arxiv.org/abs/2006.03036

zbMATH Keywords

Poincaré seriesKloosterman sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30)

Related Items (1)

Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\)

Cites Work

• Exponential sums and Newton polyhedra: cohomology and estimates
• Eisenstein series on the metaplectic group and nonvanishing theorems for automorphic L-functions and their derivatives
• Poincaré series on \(\mathrm{GL}(r)\) and Kloosterman sums
• Poincaré series for GL(n): Fourier expansion, Kloosterman sums, and algebreo-geometric estimates
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Kloosterman sets in reductive groups
• Poincaré series and Kloosterman sums for SL(3, Z)
• Estimates for Exponential Sums
• Kloosterman Sums for Chevalley Groups
• A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums
• The Relative Trace Formula in Analytic Number Theory
• Symplectic Kloosterman sums
• On Some Exponential Sums
• Fourier coefficients of Siegel cusp forms of degree two

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