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
SN - 0022-314X
VL - 112
SP - 216
EP - 237
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 2
ER -