Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case

Research output: Contribution to journalArticle

  • Authors:
  • Sean Prendiville


We obtain quantitative bounds in the polynomial Szemerédi theorem of Bergelson and Leibman, provided the polynomials are homogeneous and of the same degree. Such configurations include arithmetic progressions with common difference equal to a perfect kth power.

Bibliographical metadata

Original languageEnglish
Number of pages34
JournalDiscrete Analysis
Issue number5
StatePublished - 21 Feb 2017