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 
@article{10_4064_aa165_3_6,
     author = {Fedor Petrov},
     title = {Combinatorial {Nullstellensatz} approach to
 polynomial expansion},
     journal = {Acta Arithmetica},
     pages = {279--282},
     publisher = {mathdoc},
     volume = {165},
     number = {3},
     year = {2014},
     doi = {10.4064/aa165-3-6},
     language = {de},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-6/}
}
TY  - JOUR
AU  - Fedor Petrov
TI  - Combinatorial Nullstellensatz approach to
 polynomial expansion
JO  - Acta Arithmetica
PY  - 2014
SP  - 279
EP  - 282
VL  - 165
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-6/
DO  - 10.4064/aa165-3-6
LA  - de
ID  - 10_4064_aa165_3_6
ER  - 
%0 Journal Article
%A Fedor Petrov
%T Combinatorial Nullstellensatz approach to
 polynomial expansion
%J Acta Arithmetica
%D 2014
%P 279-282
%V 165
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-6/
%R 10.4064/aa165-3-6
%G de
%F 10_4064_aa165_3_6
Fedor Petrov. Combinatorial Nullstellensatz approach to
 polynomial expansion. Acta Arithmetica, Tome 165 (2014) no. 3, pp. 279-282. doi: 10.4064/aa165-3-6

Cité par Sources :