Tower-type bounds for Roth's theorem with popular differences

Jacob Fox, Huy Tuan Pham, Yufei Zhao

Type: Preprint

Publication Date: 2020-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2004.13690

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Tower-type bounds for Roth’s theorem with popular differences	2022	Jacob Fox Huy Tuan Pham Yufei Zhao
+	Popular progression differences in vector spaces	2017	Jacob Fox Huy Tuan Pham
+	Popular progression differences in vector spaces II	2017	Jacob Fox Huy Tuan Pham
+ PDF Chat	Popular Progression Differences in Vector Spaces	2019	Jacob Fox Huy Tuan Pham
+	Popular progression differences in vector spaces	2017	Jacob Fox Huy Tuan Pham
+ PDF Chat	An improved lower bound for arithmetic regularity	2016	Kaave Hosseini Shachar Lovett Guy Moshkovitz A. Shapira
+ PDF Chat	A new proof of Roth’s theorem on arithmetic progressions	2008	Ernie Croot Olof Sisask
+ PDF Chat	Logarithmic bounds for Roth's theorem via almost-periodicity	2019	Thomas F. Bloom Olof Sisask
+	A new proof of Roth's theorem on arithmetic progressions	2008	Ernie Croot Olof Sisask
+	Discrepancy of arithmetic progressions in grids	2021	Jacob Fox Max Wenqiang Xu Yunkun Zhou
+	Narrow arithmetic progressions in the primes	2015	Xuancheng Shao
+ PDF Chat	The $3k-4$ Theorem modulo a Prime: High Density for $A+B$	2024	David J. Grynkiewicz
+	On product sets of arithmetic progressions	2022	Max Wenqiang Xu Yunkun Zhou
+	Improved bound in Roth's theorem on arithmetic progressions	2020	Tomasz Schoen
+	Improved bound in Roth's theorem on arithmetic progressions	2020	Tomasz Schoen
+	Breaking the logarithmic barrier in Roth's theorem on arithmetic progressions	2020	Thomas F. Bloom Olof Sisask
+	Sets of integers that do not contain long arithmetic progressions	2008	Kevin O’Bryant
+	Sets of integers that do not contain long arithmetic progressions	2008	Kevin O’Bryant
+ PDF Chat	Discrepancy of arithmetic progressions in grids	2024	Jacob Fox Max Wenqiang Xu Yunkun Zhou
+ PDF Chat	A quantitative improvement for Roth's theorem on arithmetic progressions: Table 1.	2016	Thomas F. Bloom

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (29)

Action	Title	Year	Authors
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi
+	A Note on Elkin’s Improvement of Behrend’s Construction	2010	Ben Green Julia Wolf
+ PDF Chat	An improved lower bound for arithmetic regularity	2016	Kaave Hosseini Shachar Lovett Guy Moshkovitz A. Shapira
+ PDF Chat	Bounds for graph regularity and removal lemmas	2012	David Conlon Jacob Fox
+	A Szemeredi-type regularity lemma in abelian groups	2003	Ben Green
+	On Triples in Arithmetic Progression	1999	Jean Bourgain
+	The Difference Between Consecutive Primes	1996	Roger C. Baker G. Harman
+	Lower bounds of tower type for Szemerédi's uniformity lemma	1997	W. T. Gowers
+ PDF Chat	Dependent random choice	2010	Jacob Fox Benny Sudakov
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown