Combinatorial Nullstellensatz approach to polynomial expansion
Fedor Petrov
Acta Arithmetica, Tome 166 (2014), p. 279-282 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279540 
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     title = {Combinatorial Nullstellensatz approach to polynomial expansion},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {279-282},
     zbl = {1328.12003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-3-6}
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Fedor Petrov. Combinatorial Nullstellensatz approach to polynomial expansion. Acta Arithmetica, Tome 166 (2014) pp. 279-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa165-3-6/