Character sums, automorphic forms, equidistribution, and Ramanujan graphs Part I. The Kloosterman sum conjecture over function fields

DOI10.1515/form.2003.037zbMath1038.11038OpenAlexW2041674287WikidataQ123096126 ScholiaQ123096126MaRDI QIDQ4435234

Ching-Li Chai, Wen-Ch'ing Winnie Li

Publication date: 3 December 2003

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2003.037

zbMATH Keywords

Kloosterman sumsL-functions for l-adic representations

Mathematics Subject Classification ID

Exponential sums (11T23) Structural characterization of families of graphs (05C75) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Varieties over global fields (11G35) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items

On the distribution of angles of the Salié sums ⋮ On the distribution of Kloosterman sums ⋮ Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average ⋮ When Kloosterman sums meet Hecke eigenvalues ⋮ Unnamed Item ⋮ Ramanujan graphs on cosets of \(\operatorname{PGL}_2(\mathbb F_q)\)

Cites Work

• Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
• Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
• Automorphic forms on GL (2)
• Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)
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