\(L\)-functions of symmetric products of the Kloosterman sheaf over \(Z\)

DOI10.1007/S00208-008-0240-5zbMath1151.11041arXiv0710.2949OpenAlexW2082276218MaRDI QIDQ943361

Daqing Wan, Lei Fu

Publication date: 9 September 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2949

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Gauss and Kloosterman sums; generalizations (11L05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (7)

\(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates) ⋮ Hodge theory of Kloosterman connections ⋮ Kloosterman sums and Hecke polynomials in characteristics 2 and 3 ⋮ Galois representations attached to moments of Kloosterman sums and conjectures of Evans ⋮ 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

Cites Work

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• The modularity of the Barth--Nieto quintic and its relatives
• 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)
• L-functions for symmetric products of Kloosterman sums
• Seventh power moments of Kloosterman sums

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