Bounds for sets with no polynomial progressions

Research output: Contribution to journalArticlepeer-review

Abstract

Let be polynomials with distinct degrees, each having zero constant term. We show that any subset A of with no nontrivial progressions of the form has size. Along the way, we prove a general result controlling weighted counts of polynomial progressions by Gowers norms.

Original languageEnglish (US)
Article numbere16
JournalForum of Mathematics, Pi
DOIs
StateAccepted/In press - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Keywords

  • 11B30
  • 2020 Mathematics Subject Classification

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