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

✍ Scribed by Andrew Granville; Igor E. Shparlinski; Alexandru Zaharescu

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
354 KB
Volume
112
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let p be a prime number, let F p be the algebraic closure of F p = Z/pZ, let C be an absolutely irreducible curve in A r (F p ) and h = (h 1 , . . . , h s ) 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 F p -points of C, after a suitable embedding.

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