Quantitative bounds in the polynomial Szemerédi theorem:The homogeneous case

Prendiville, Sean (2017) Quantitative bounds in the polynomial Szemerédi theorem:The homogeneous case. Discrete Analysis, 2017 (5). pp. 1-34. ISSN 2397-3129

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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Discrete Analysis
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2608
Subjects:
ID Code:
137144
Deposited By:
Deposited On:
01 Oct 2019 13:30
Refereed?:
Yes
Published?:
Published
Last Modified:
24 Nov 2020 07:57