TY - JOUR

T1 - On the distribution of rational functions along a curve over Fp and residue races

AU - Granville, Andrew

AU - Shparlinski, Igor E.

AU - Zaharescu, Alexandru

PY - 2005/6

Y1 - 2005/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=18744376034&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2005.02.002

DO - 10.1016/j.jnt.2005.02.002

M3 - Article

AN - SCOPUS:18744376034

VL - 112

SP - 216

EP - 237

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 2

ER -