The lifting of an exponential sum to a cyclic algebraic number field of prime degree

DOI10.1090/S0002-9947-98-02001-7zbMath0922.11068MaRDI QIDQ4211870

Yangbo Ye

Publication date: 8 October 1998

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

zbMATH Keywords

exponential sumsliftingKloosterman sumcyclic base changecyclic algebraic fieldHasse-Davenport formulalocal epsilon-factors

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Exponential sums for \(GL(n)\) and their applications to base change ⋮ Gauss sums and Kloosterman sums over residue rings of algebraic integers ⋮ A hyper-Kloosterman sum identity

Cites Work

• The triplication formula for Gauss sums
• Modular forms associated to real quadratic fields
• The continuous spectrum of the relative trace formula for \(GL(3)\) over a quadratic extension
• The lifting of Kloosterman sums
• Automorphic forms on GL (2)
• Kloosterman integrals and base change for GL (2).
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
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