Incomplete Kloosterman Sums and Multiplicative Inverses in Short Intervals

T. D. Browning*, A. Haynes

*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

Abstract

We investigate the solubility of the congruence xy equivalent to 1 (mod p), where p is a prime and x, y are restricted to lie in suitable short intervals. Our work relies on a mean value theorem for incomplete Kloosterman sums.

Original languageEnglish
Pages (from-to)481-486
Number of pages6
JournalInternational Journal of Number Theory
Volume9
Issue number2
DOIs
Publication statusPublished - Mar 2013

Keywords

  • Incomplete Kloosterman sums
  • modular hyperbolas
  • Weil's bound

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  • Career Acceleration Fellowship

    Haynes, A. K. (Principal Investigator)

    1/10/11 → 1/10/13

    Project: Research

  • DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY

    Browning, T. D. (Principal Investigator)

    1/09/07 → 1/04/13

    Project: Research

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