Long progressions in sets of fractional dimension

Marc Carnovale

Type: Preprint

Publication Date: 2013-08-13

Citations: 5

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Long progressions in sets of fractional dimension	2013	Marc Carnovale
+ PDF Chat	Arithmetic Progressions in Sets of Fractional Dimension	2009	Izabella Łaba Malabika Pramanik
+	Arithmetic progressions in Salem-type subsets of the integers	2010	Paul Potgieter
+	Arithmetic progressions in Salem-type subsets of the integers	2010	Paul Potgieter
+	Long arithmetic progressions in sum sets	2006	Terence Tao Van H. Vu
+	Arithmetic properties of sparse subsets of $\mathbb{Z}^n$	2016	Paul Potgieter
+ PDF Chat	On Assouad Dimension and Arithmetic Progressions in Sets Defined by Digit Restrictions	2018	Jinjun Li Min Wu Ying Xiong
+ PDF Chat	Dimensions of Sets Which Uniformly Avoid Arithmetic Progressions	2017	Jonathan M. Fraser Kota Saito Han Yu
+ PDF Chat	Popular Progression Differences in Vector Spaces	2019	Jacob Fox Huy Tuan Pham
+	New bounds for dimensions of a set uniformly avoiding multi-dimensional arithmetic progressions	2019	Kota Saito
+	Popular progression differences in vector spaces	2017	Jacob Fox Huy Tuan Pham
+	Improved bounds on the dimensions of sets that avoid approximate arithmetic progressions	2019	Jonathan M. Fraser Pablo Shmerkin Alexia Yavicoli
+	Dimensions of sets which uniformly avoid arithmetic progressions	2017	Jonathan M. Fraser Kota Saito Yu Han
+	Dimensions of sets which uniformly avoid arithmetic progressions	2017	Jonathan M. Fraser Kota Saito Han Yu
+ PDF Chat	Higher-Order Fourier Analysis Of $${\mathbb{F}_{p}^n}$$ And The Complexity Of Systems Of Linear Forms	2011	Hamed Hatami Shachar Lovett
+	On Assouad dimension and arithmetic progressions in sets defined by digit restrictions	2017	Jinjun Li Min Wu Ying Xiong
+	Higher-order Fourier analysis of F p n and the complexity of systems of linear forms.	2010	Hamed Hatami Shachar Lovett
+ PDF Chat	Ubiquity and large intersections properties under digit frequencies constraints	2008	Julien Barral Stéphane Seuret
+	Additive transversality of fractal sets in the reals and the integers	2020	Daniel Glasscock Joel Moreira Florian K. Richter
+ PDF Chat	Higher uniformity of arithmetic functions in short intervals I. All intervals	2023	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen

Works That Cite This (5)

Action	Title	Year	Authors
+	Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions	2016	Chun‐Kit Lai
+	On Assouad dimension and arithmetic progressions in sets defined by digit restrictions	2017	Jinjun Li Min Wu Ying Xiong
+ PDF Chat	Dimensions of Sets Which Uniformly Avoid Arithmetic Progressions	2017	Jonathan M. Fraser Kota Saito Han Yu
+	Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions	2017	Chun‐Kit Lai
+	Higher-order Fourier dimension and frequency decompositions	2013	Marc Carnovale

Works Cited by This (10)

Action	Title	Year	Authors
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Full Dimensional Sets Without Given Patterns	2011	Péter Maga
+	A multidimensional Szemerédi's theorem in the primes	2016	Tatchai Titichetrakun
+	Gowers norms for singular measures	2013	Marc Carnovale
+	Salem sets and restriction properties of Fourier transforms	2000	Gerd Mockenhaupt
+ PDF Chat	Construction of one-dimensional subsets of the reals not containing similar copies of given patterns	2008	Tamás Keleti
+	On Certain Sets of Positive Density	1959	P. Varnavides
+	Higher-order Fourier dimension and frequency decompositions	2013	Marc Carnovale
+ PDF Chat	Hypergraph regularity and the multidimensional Szemerédi theorem	2007	William Timothy Gowers
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers