On the distribution of rational functions along a curve over Fp and residue races

Andrew Granville, Igor E. Shparlinski, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

Let p be a prime number, let F̄p be the algebraic closure of Fp = ℤ/pℤ, let C be an absolutely irreducible curve in Ar (F̄p) and h = (h1,...,hs) a rational map defined on the curve C. We investigate the distribution in the s-dimensional unit cube (ℝ/ℤ)s of the images through h of the Fp-points of C, after a suitable embedding.

Original languageEnglish (US)
Pages (from-to)216-237
Number of pages22
JournalJournal of Number Theory
Volume112
Issue number2
DOIs
StatePublished - Jun 2005

Keywords

  • Affine curves
  • Discrepancy
  • Distribution on the torus

ASJC Scopus subject areas

  • Algebra and Number Theory

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