New polynomial and multidimensional extensions of classical partition results

Vitaly Bergelson, John H. Johnson, Joel Moreira

Type: Preprint

Publication Date: 2015-01-11

Citations: 6

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	New polynomial and multidimensional extensions of classical partition results	2015	Vitaly Bergelson John H. Johnson Joel Moreira
+	New polynomial and multidimensional extensions of classical partition results	2016	Vitaly Bergelson John H. Johnson Joel Moreira
+	Partition regular polynomial patterns in commutative semigroups	2016	Joel Moreira
+	A canonical version for partition regular systems of linear equations	1986	Hanno Lefmann
+	A generalized central sets theorem and applications	2015	Dev Phulara
+	Versions of the Central Sets Theorem with higher degree terms	2017	David J. Fernández-Bretón
+ PDF Chat	Non commutative multidimensional stronger Central Sets Theorem	2024	Dibyendu De Sujan Pal
+ PDF Chat	Polynomial Extension of the Stronger Central Sets Theorem	2023	Sayan Goswami Lorenzo Luperi Baglini Sourav Kanti Patra
+	Polynomial extension of the Stronger Central Sets Theorem	2022	Sayan Goswami Lorenzo Luperi Baglini Sourav Kanti Patra
+	A characterisation of commutator-forcing polynomials	2014	Stephen M. Buckley Desmond MacHale
+	A Multidimensional Central Sets Theorem	2008	Mathias Beiglböck
+ PDF Chat	A Multidimensional Central Sets Theorem	2006	Mathias Beiglböck
+	An Operational Characterization of Certain Partition Polynomials	1952	W. Gustin
+ PDF Chat	The interplay between additive and symmetric large sets and their combinatorial applications	2024	Arkabrata Gosh Sayan Goswami Sourav Kanti Patra
+ PDF Chat	Partition regularity of nonlinear polynomials: a nonstandard approach	2013	Lorenzo Luperi Baglini
+	A new and simpler noncommutative central sets theorem	2015	John H. Johnson
+ PDF Chat	$IP$ rich ultrafilters and new partition regular equations	2024	Sayan Goswami
+ PDF Chat	A 𝑞-analog of restricted growth functions, Dobinski’s equality, and Charlier polynomials	1978	Stephen C. Milne
+	Central Sets and Their Combinatorial Characterization	1996	Neil Hindman Amir Maleki Dona Strauss
+	Partition Polynomials	1927	E. T. Bell

Works That Cite This (6)

Action	Title	Year	Authors
+	Ramsey properties of nonlinear Diophantine equations	2017	Mauro Di Nasso Lorenzo Luperi Baglini
+	Using ultrafilters to prove Ramsey-type theorems	2017	David J. Fernández-Bretón
+	Measure preserving actions of affine semigroups and patterns	2016	Vitaly Bergelson Joel Moreira
+ PDF Chat	Monochromatic sums and products	2016	Ben Green Tom Sanders
+ PDF Chat	Fermat-Like Equations that are not Partition Regular	2017	Mauro Di Nasso Maria Riggio
+	Ramsey properties of nonlinear Diophantine equations	2016	Mauro Di Nasso Lorenzo Luperi Baglini

Works Cited by This (18)

Action	Title	Year	Authors
+	On Deuber's partition theorem for (m, p, c)-sets.	2002	David S. Gunderson
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg
+	Partition regularity of (M, P, C)-systems	1993	Neil Hindman Hanno Lefmann
+	Central Sets and Their Combinatorial Characterization	1996	Neil Hindman Amir Maleki Dona Strauss
+ PDF Chat	Large sets of integers and hierarchy of mixing properties of measure preserving systems	2008	Vitaly Bergelson Tomasz Downarowicz
+	Finite sums from sequences within cells of a partition of N	1974	Neil Hindman
+ PDF Chat	Regularity and positional games	1963	Alfred W. Hales Robert I. Jewett
+	Solvability of Rado systems in D-sets	2009	Mathias Beiglböck Vitaly Bergelson Tomasz Downarowicz Alexander Fish
+ PDF Chat	Nonmetrizable topological dynamics and Ramsey theory	1990	Vitaly Bergelson Neil Hindman