Further bounds in the polynomial Szemer
Borys Kuca
Abstract
We provide upper bounds for the size of subsets of finite fields lacking the polynomial progression $$ x, x+y, \ldots , x+(m-1)y, x+y^m, \ldots , x+y^{m+k-1}.$$ These are the first known upper bounds in the polynomial Szemerédi theorem for the case when p
Topics & Concepts
MathematicsPolynomialCombinatoricsFinite fieldUpper and lower boundsDiscrete mathematicsMathematical analysisLimits and Structures in Graph TheoryCoding theory and cryptographyAnalytic Number Theory Research