Combinatorial Nullstellensatz approach to polynomial expansion

Fedor Petrov. "Combinatorial Nullstellensatz approach to polynomial expansion." Acta Arithmetica 165.3 (2014): 279-282. <http://eudml.org/doc/279540>.

@article{FedorPetrov2014,
abstract = {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.},
author = {Fedor Petrov},
journal = {Acta Arithmetica},
keywords = {Cauchy-Davenport theorem; polynomial expansion; polynomial method; combinatorial Nullstellensatz},
language = {eng},
number = {3},
pages = {279-282},
title = {Combinatorial Nullstellensatz approach to polynomial expansion},
url = {http://eudml.org/doc/279540},
volume = {165},
year = {2014},
}

TY - JOUR
AU - Fedor Petrov
TI - Combinatorial Nullstellensatz approach to polynomial expansion
JO - Acta Arithmetica
PY - 2014
VL - 165
IS - 3
SP - 279
EP - 282
AB - 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.
LA - eng
KW - Cauchy-Davenport theorem; polynomial expansion; polynomial method; combinatorial Nullstellensatz
UR - http://eudml.org/doc/279540
ER -