A Single Set Improvement to the $3k-4$ Theorem

David J. Grynkiewicz

Type: Preprint

Publication Date: 2019-11-28

Citations: 0

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	A Single Set Improvement to the $3k-4$ Theorem	2019	David J. Grynkiewicz
+	A single set improvement to the 3k − 4 theorem	2020	David J. Grynkiewicz
+	A strengthening of Freiman's 3k-4 theorem	2022	Béla Bollobás Imre Leader Marius Tiba
+ PDF Chat	A strengthening of Freiman's 3k−4$3k-4$ theorem	2023	Béla Bollobás Imre Leader Marius Tiba
+	The sum-product problem for small sets	2023	Ginny Ray Clevenger Haley Havard Patch Heard Andrew Lott Alex Rice Brittany Wilson
+ PDF Chat	The $3k-4$ Theorem modulo a Prime: High Density for $A+B$	2024	David J. Grynkiewicz
+	New lower bounds for three-term progression free sets in $\mathbb{F}_p^n$	2024	Christian Elsholtz Laura Proske Lisa Sauermann
+ PDF Chat	One step further of an inverse theorem for the restricted set addition in $\mathbb{Z}/p\mathbb{Z}$	2024	David Fernando Daza Urbano René González‐Martínez Mario Huicochea Mason Amanda Montejano Cantoral
+	Long Arithmetic Progressions in Sets with Small Sumset	2009	Itziar Bardají David J. Grynkiewicz
+	A step beyond Freiman's theorem for set addition modulo a prime	2018	Pablo Candela Oriol Serra Christoph Spiegel
+	The Kelley--Meka bounds for sets free of three-term arithmetic progressions	2023	Thomas F. Bloom Olof Sisask
+	A step beyond Freiman's theorem for set addition modulo a prime.	2018	Pablo Candela Oriol Serra Christoph Spiegel
+ PDF Chat	Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields	2024	Christian Elsholtz Zach Hunter Laura Proske Lisa Sauermann
+	Freiman's $(3k-4)$-like results for subset and subsequence sums	2024	Mohan Jagannath Bhanja Ram Krishna Pandey
+	An extension of Furstenberg's theorem of the infinitude of primes	2020	Frank Vega
+	A note on the large progression-free sets in Z_q^n	2016	Hongze Li
+	Three-term arithmetic progressions in subsets of $\mathbb{F}_q^{\infty}$ of large Fourier dimension	2020	Robert Fraser
+	Three-term arithmetic progressions in subsets of $\mathbb{F}_q^{\infty}$ of large Fourier dimension	2020	Robert Fraser
+	Towards $3n-4$ in groups of prime order	2023	Vsevolod F. Lev Oriol Serra
+	Improved bound in Roth's theorem on arithmetic progressions	2020	Tomasz Schoen

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (10)

Action	Title	Year	Authors
+	On addition of two distinct sets of integers	1995	Vsevolod F. Lev Pavel Smeliansky
+	On the Extremal Aspect of the Frobenius Problem	1996	Vsevolod F. Lev
+ PDF Chat	Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets	2009	Gregory A. Freiman
+	Freiman's inverse problem with small doubling property	2007	Renling Jin
+	Structure Theorem for Multiple Addition and the Frobenius Problem	1996	Vsevolod F. Lev
+	Long Arithmetic Progressions in Small Sumsets	2010	Itziar Bardají David J. Grynkiewicz
+ PDF Chat	Properties of two-dimensional sets with small sumset	2009	David J. Grynkiewicz Oriol Serra
+	A proof of a conjecture of Lev	2018	Mario Huicochea
+	Iterated sumsets and subsequence sums	2018	David J. Grynkiewicz
+ PDF Chat	On Freiman’s 3<i>k</i> − 4 Theorem	2019	Mario Huicochea