A Non-Linear Roth Theorem for Sets of Positive Density

Ben Krause

Type: Preprint

Publication Date: 2019-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.1901.01371

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	A nonlinear version of Roth's theorem for sets of positive density in the real line	1988	Jean Bourgain
+	A Non-Linear Roth Theorem for Fractals of Sufficiently Large Dimension	2019	Ben Krause
+	Polynomial Roth theorems on sets of fractional dimensions	2019	Robert Fraser Shaoming Guo Malabika Pramanik
+	Polynomial Roth theorems on sets of fractional dimensions	2019	Robert Fraser Shaoming Guo Malabika Pramanik
+	A polynomial Roth theorem on the real line	2018	Polona Durcik Shaoming Guo Joris Roos
+	Locally Non-Measurable Functions with Many Continuity Points	2024	Gerd Herzog Raymond Mortini Peter Pflug
+	A quasi-locally constant function with given cluster sets	2020	O. V. Maslyuchenko Denys P. Onypa
+ PDF Chat	Polynomial Roth Theorems on Sets of Fractional Dimensions	2021	Robert Fraser Shaoming Guo Malabika Pramanik
+	A Negative Answer to a Conjecture on Upper Convex Density	2008	尹建东
+ PDF Chat	Slightly ÏgÎ³-Continuous Functions	2013	O. RAVİ S.margaret PARİMALAM
+ PDF Chat	Two-Point Polynomial Patterns in Subsets of Positive Density in $\mathbb{R}^{n}$	2024	Xuezhi Chen Changxing Miao
+ PDF Chat	An Inequality in $p$-Functions	1979	David Mountford
+ PDF Chat	A Note on Bounded Functions	1953	Hideo Imura
+	A Marstrand theorem for measures with polytope density	2007	Andrew Lorent
+	Positive polynomials on compact sets	2001	Ralph Berr Thorsten Wörmann
+	ON SOME CLASSES OF NON-BOUNDED FUNCTIONS	1972	Waclaw Leksiński Wcjciech Zakowski
+	CLUSTER SETS OF ARBITRARY REAL FUNCTIONS: A PARTIAL SURVEY	1976	Belna
+	A Theorem Concerning Real Functions	1915	K. P. Williams
+	A strong-type Furstenberg-Sárközy theorem for sets of positive measure	2023	Polona Durcik Vjekoslav Kovač Mario Stipčić
+ PDF Chat	A Strong-Type Furstenberg–Sárközy Theorem for Sets of Positive Measure	2023	Polona Durcik Vjekoslav Kovač Mario Stipčić

Works That Cite This (4)

Action	Title	Year	Authors
+	Two bipolynomial Roth theorems in $\mathbb{R}$	2020	Xuezhi Chen Jingwei Guo Xiaochun Li
+	A unified approach to three themes in harmonic analysis ($1^{st}$ part)	2019	Victor Lie
+	The non-resonant bilinear Hilbert--Carleson operator	2021	Cristina Benea Frédéric Bernicot Victor Lie Marco Vitturi
+	Two bipolynomial Roth theorems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">R</mml:mi></mml:math>	2021	Xuezhi Chen Jingwei Guo Xiaochun Li

Works Cited by This (17)

Action	Title	Year	Authors
+	An optimal version of Sarkozy's theorem	2010	Neil Lyall Ákos Magyar
+	On distance sets of large sets of integer points	2008	Ákos Magyar
+	Plane Sets with Positive Density at Infinity Contain all Large Distances	1986	K. J. Falconer J. M. Marstrand
+ PDF Chat	On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves	2015	Victor Lie
+	A nonlinear version of Roth's theorem for sets of positive density in the real line	1988	Jean Bourgain
+	Distances in positive density sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mi>d</mml:mi></mml:msup></mml:math>	2008	Anthony Quas
+ PDF Chat	Optimal Polynomial Recurrence	2012	Neil Lyall Ákos Magyar
+	A szemerédi type theorem for sets of positive density inR k	1986	Jean Bourgain
+	Ergodic Theory and Configurations in Sets of Positive Density	1990	Hillel Fürstenberg Yitzchak Katznelson Benjamin Weiss
+ PDF Chat	On Side Lengths of Corners in Positive Density Subsets of the Euclidean Space	2017	Polona Durcik Vjekoslav Kovač Luka Rimanić