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

On the distribution of rational functions along a curve over Fp and residue races
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DOI:
10.1016/j.jnt.2005.02.002
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发表时间:
2005-06
影响因子:
0.7
通讯作者:
A. Granville;I. Shparlinski;A. Zaharescu
A. Granville;I. Shparlinski;A. Zaharescu
中科院分区:
数学3区
文献类型:
--
作者:
A. Granville;I. Shparlinski;A. Zaharescu

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