Combinatorial Nullstellensatz approach to polynomial expansion

• Autorzy: Fedor Petrov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12E05: Polynomials (irreducibility, etc.)
• 05E40: Combinatorial aspects of commutative algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 165
• Numer: 3
• Strony: 279-282

Daty

wydano

2014

Twórcy

autor

Fedor Petrov

• St. Petersburg Department, of V. A. Steklov Institute of Mathematics RAS, Fontanka 27, 191023 St. Petersburg, Russia
• Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky prospekt, 28, 198504 Peterhof, St. Petersburg, Russia

Identyfikatory

DOI

10.4064/aa165-3-6