Geodesic
Combinatorial Nullstellensatz approach to polynomial expansion
Fedor Petrov1
1 St. Petersburg Department of V. A. Steklov Institute of Mathematics RAS Fontanka 27 191023 St. Petersburg, Russia and Faculty of Mathematics and Mechanics St. Petersburg State University Universitetsky prospekt, 28 198504 Peterhof, St. Petersburg, Russia
Acta Arithmetica, Tome 165 (2014) no. 3, pp. 279-282.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Applying techniques similar to Combinatorial Nullstellensatz we prove a lower estimate of $|f(A,B)|$ for finite subsets $A$, $B$ of a field, and a polynomial $f(x,y)$ of the form $f(x,y)=g(x)+yh(x)$, where the degree of $g$ is greater than that of $h$.
DOI : 10.4064/aa165-3-6
Mots-clés : applying techniques similar combinatorial nullstellensatz prove lower estimate finite subsets field polynomial form where degree greater

Fedor Petrov 1

1 St. Petersburg Department of V. A. Steklov Institute of Mathematics RAS Fontanka 27 191023 St. Petersburg, Russia and Faculty of Mathematics and Mechanics St. Petersburg State University Universitetsky prospekt, 28 198504 Peterhof, St. Petersburg, Russia 
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Fedor Petrov. Combinatorial Nullstellensatz approach to
 polynomial expansion. Acta Arithmetica, Tome 165 (2014) no. 3, pp. 279-282. doi : 10.4064/aa165-3-6. http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-6/

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