Kloosterman sets in reductive groups

DOI10.1006/jnth.1998.2301zbMath0919.11055OpenAlexW1966240484MaRDI QIDQ1277183

Romuald Dąbrowski, Mark Reeder

Publication date: 1 September 1999

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2301

zbMATH Keywords

generating functionreductive groupsChevalley groupslocal Kloosterman zeta function for trivial unipotent characterssizes of Kloosterman sets

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Gauss and Kloosterman sums; generalizations (11L05) Analysis on (p)-adic Lie groups (22E35)

Related Items (5)

A density theorem for Sp(4)$\operatorname{Sp}(4)$ ⋮ Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\) ⋮ Density theorems for \(\mathrm{GL}(n)\) ⋮ Symplectic Kloosterman sums and Poincaré series ⋮ An orthogonality relation for (with an appendix by Bingrong Huang)

Cites Work

• Poincaré series on \(\mathrm{GL}(r)\) and Kloosterman sums
• Poincaré series for GL(n): Fourier expansion, Kloosterman sums, and algebreo-geometric estimates
• Comparison of the Bruhat and the Iwahori decompositions of a \(p\)-adic Chevalley group
• Poincaré series and Kloosterman sums for SL(3, Z)
• Kloosterman Sums for Chevalley Groups
• A stationary phase formula for exponential sums over $ℤ/p^{m}ℤ$ and applications to GL(3)-Kloosterman sums
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