From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums

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Abstract

We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.

Original languageEnglish
Pages (from-to)224-240
Number of pages17
JournalJournal of Geometric Analysis
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 2011

Keywords

  • Oscillatory integrals
  • Exponential sums
  • Sublevel sets
  • Polynomial congruences
  • EXPONENTIAL-SUMS

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