Functional equations of $L$-functions for symmetric products of the Kloosterman sheaf

DOI10.1090/S0002-9947-2010-05172-4zbMath1219.14031arXiv0812.4994OpenAlexW1992573647MaRDI QIDQ3056575

Daqing Wan, Lei Fu

Publication date: 12 November 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4994

zbMATH Keywords

functional equation\(L\)-functionKloosterman sheaf

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Gauss and Kloosterman sums; generalizations (11L05)

Related Items

Power moments of Kloosterman sums ⋮ Hodge theory of Kloosterman connections ⋮ 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 ⋮ Symmetric power $L$-functions for families of generalized Kloosterman sums ⋮ Multiple Zeta Values and Modular Forms in Quantum Field Theory

Cites Work

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• The Moments of a Kloosterman Sum and the Weight Distribution of a Zetterberg-Type Binary Cyclic Code
• 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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