Further bounds in the polynomial Szemer

Volume: 198, Issue: 1, Pages: 77 - 108
Published: Jan 1, 2021
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...
Paper Details
Title
Further bounds in the polynomial Szemer
Published Date
Jan 1, 2021
Volume
198
Issue
1
Pages
77 - 108
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