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

Ching Li Chai, Wen-ching Winnie Li

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)679-699
Number of pages21
JournalForum Mathematicum
Volume15
Issue number5
DOIs
StatePublished - Jan 1 2003

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Ramanujan Graphs
Kloosterman Sums
Character Sums
Automorphic Forms
Equidistribution
Function Fields
L-function
Exponential Sums

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Character sums, automorphic forms, equidistribution, and Ramanujan graphs Part I. The Kloosterman sum conjecture over function fields. / Chai, Ching Li; Li, Wen-ching Winnie.

In: Forum Mathematicum, Vol. 15, No. 5, 01.01.2003, p. 679-699.

Research output: Contribution to journalArticle

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