Quantitative bounds in a popular polynomial Szemerédi theorem

Authors

• Xuancheng Shao, University of KentuckyFollow
• Mengdi Wang, Swiss Federal Institute of Technology LausanneFollow

Abstract

We obtain polylogarithmic bounds in the polynomial Szemerédi theorem when the polynomials have distinct degrees and zero constant terms. Specifically, let $A$ .

Document Type

Article

Publication Date

1-1-2025

Notes/Citation Information

Publisher Copyright: © The Author(s), 2025. Published by Cambridge University Press.

Digital Object Identifier (DOI)

10.1017/prm.2025.10103

Archival?

Archival

Repository Citation

Shao, Xuancheng and Wang, Mengdi, "Quantitative bounds in a popular polynomial Szemerédi theorem" (2025). Mathematics Faculty Publications. 63.
https://uknowledge.uky.edu/math_facpub/63