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

Ching Li Chai; Wen Ching Winnie Li

doi:10.1515/form.2003.037

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

Ching Li Chai
, Wen Ching Winnie Li

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

According to the Langlands program, L-functions arising from families of exponential sums over global function fields are automorphic L-functions. We illustrate this general principle in examples related to Kloosterman sums and Ramanujan graphs.

Original language	English (US)
Pages (from-to)	679-699
Number of pages	21
Journal	Forum Mathematicum
Volume	15
Issue number	5
DOIs	https://doi.org/10.1515/form.2003.037
State	Published - 2003

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/form.2003.037

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

abstract = "According to the Langlands program, L-functions arising from families of exponential sums over global function fields are automorphic L-functions. We illustrate this general principle in examples related to Kloosterman sums and Ramanujan graphs.",

author = "Chai, \{Ching Li\} and Li, \{Wen Ching Winnie\}",

note = "Funding Information: 1 partially supported by grant DMS 9800609 from the National Science Foundation 2 partially supported by grant DMS96-22938 and DMS 99-70651 from the National Science Foundation",

year = "2003",

doi = "10.1515/form.2003.037",

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pages = "679--699",

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AU - Chai, Ching Li

AU - Li, Wen Ching Winnie

N1 - Funding Information: 1 partially supported by grant DMS 9800609 from the National Science Foundation 2 partially supported by grant DMS96-22938 and DMS 99-70651 from the National Science Foundation

PY - 2003

Y1 - 2003

N2 - According to the Langlands program, L-functions arising from families of exponential sums over global function fields are automorphic L-functions. We illustrate this general principle in examples related to Kloosterman sums and Ramanujan graphs.

AB - According to the Langlands program, L-functions arising from families of exponential sums over global function fields are automorphic L-functions. We illustrate this general principle in examples related to Kloosterman sums and Ramanujan graphs.

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SN - 0933-7741

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JF - Forum Mathematicum

IS - 5

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

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