Trivial factors for \(L\)-functions of symmetric products of Kloosterman sheaves

DOI10.1016/j.ffa.2007.07.005zbMath1211.11094arXivmath/0609274OpenAlexW1967028696MaRDI QIDQ2426478

Daqing Wan, Lei Fu

Publication date: 22 April 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609274

zbMATH Keywords

finite fieldKloosterman sumL-functiontrivial factor

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (10)

Unit roots of the unit root \(L\)-functions of Kloosterman family ⋮ \(L\)-functions associated with families of toric exponential sums ⋮ Hodge numbers of motives attached to Kloosterman and Airy moments ⋮ Improvements of the Weil bound for Artin-Schreier curves ⋮ \(L\)-functions of symmetric products of the Kloosterman sheaf over \(Z\) ⋮ Kloosterman sums and Hecke polynomials in characteristics 2 and 3 ⋮ Hypergeometric $\mathbf {{}_3{\it F}_2(1/4)}$ evaluations over finite fields and Hecke eigenforms ⋮ Functional equations of $L$-functions for symmetric products of the Kloosterman sheaf ⋮ Symmetric power $L$-functions for families of generalized Kloosterman sums ⋮ L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS

Cites Work

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• CONGRUENCES FOR SUMS OF POWERS OF KLOOSTERMAN SUMS
• Symmetric powers of the p-adic Bessel equation.
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
• Higher rank case of Dwork’s conjecture
• Rank one case of Dwork’s conjecture
• L-functions for symmetric products of Kloosterman sums

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