Geodesic
A CLASS OF ALGEBRAIC-EXPONENTIAL CONGRUENCES MODULO $p$
Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1 
C. Cobeli; M. Vajaitu and A. Zaharescu. A CLASS OF ALGEBRAIC-EXPONENTIAL CONGRUENCES MODULO $p$. Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a9/
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     author = {C. Cobeli and M. Vajaitu and A. Zaharescu},
     title = {A {CLASS} {OF} {ALGEBRAIC-EXPONENTIAL} {CONGRUENCES} {MODULO} $p$},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2002},
     volume = {71},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

Let $p$ be a prime number, $\J$ a set of consecutive integers, $\overline \FF _p$ the algebraic closure of $ \FF _p=\ZZ /p\ZZ$ and $\C$ an irreducible curve in an affine space $\AA^r(\overline \FF _p),$ defined over $ \FF _p$. We provide a lower bound for the number of $r-$tuples $(x,y_1,\dots,y_ r-1 )$ with $x \in \J,$ $y_1,\dots,y_ r-1 \in 0,1,\cdots,p-1 $ for which $(x, y_1^x,\dots,$ $y_ r-1 ^x)$ (mod $p$) belongs to $\C( \FF _p).$