Obstructions to uniformity, and arithmetic patterns in the primes

Terence Tao

Type: Preprint

Publication Date: 2005-01-01

Citations: 4

DOI: https://doi.org/10.48550/arxiv.math/0505402

View Publication

Locations

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

Similar Works

Action	Title	Year	Authors
+ PDF	Obstructions to Uniformity and Arithmetic Patterns in the Primes	2006	Terence Tao
+	Almost arithmetic progressions in the primes and other large sets	2018	Jonathan M. Fraser
+ PDF Chat	Hidden structure in the randomness of the prime number sequence?	2005	Saúl Ares Mario Castro
+ PDF Chat	The dichotomy between structure and randomness, arithmetic progressions, and the primes	2007	Terence Tao
+	The dichotomy between structure and randomness, arithmetic progressions, and the primes	2005	Terence Tao
+	Almost arithmetic progressions in the primes and other large sets	2018	Jonathan M. Fraser
+	Ergodic recurrence and bounded gaps between primes	2024	Hao Pan
+	Sequences of integers and ergodic transformations	1989	Stanley Eigen Arshag Hajian
+ PDF	The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view	2005	Bryna Kra
+	Degree lowering for ergodic averages along arithmetic progressions	2024	Nikos Frantzikinakis Borys Kuca
+ PDF	Prime numbers in typical continued fraction expansions	2023	Tanja I. Schindler Roland Zweimüller
+	Prime numbers in typical Continued Fraction Expansions	2022	Tanja I. Schindler Roland Zweimüller
+	The ergodic theory of geometric progressions	2014	Vladimir I. Arnold
+	Ergodic transformations and sequences of integers	1991	Stanley Eigen A. Hajian Steven Kalikow
+	Primes in short intervals	1984	Henryk Iwaniec J. Pintz
+	Primes in short intervals	1982	Glyn Harman
+	(Logarithmic) densities for automatic sequences along primes and squares	2020	Boris Adamczewski Michael Drmota Clemens Müllner
+ PDF	Primes in short intervals.	1985	Helmut Maier
+ PDF	Almost Arithmetic Progressions in the Primes and Other Large Sets	2019	Jonathan M. Fraser
+ PDF Chat	(Logarithmic) densities for automatic sequences along primes and squares	2021	Boris Adamczewski Michael Drmota Clemens Müllner

Works That Cite This (4)

Action	Title	Year	Authors
+	Generalising the Hardy-Littlewood Method for Primes	2006	Ben J. Green
+	From combinatorics to ergodic theory and back again	2007	Bryna Kra
+ PDF Chat	The dichotomy between structure and randomness, arithmetic progressions, and the primes	2007	Terence Tao
+	On an Argument of Shkredov on Two-Dimensional Corners	2005	Michael T. Lacey William H. McClain

Works Cited by This (27)

Action	Title	Year	Authors
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi
+	ON THE REPRESENTATION OF A LARGER EVEN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF AT MOST TWO PRIMES	1973	Chen Jing-Run
+	Higher correlations of divisor sums related to primes III: k-correlations	2002	D. A. Goldston C. Y. Yıldırım
+	Small Gaps Between Primes I	2005	D. A. Goldston C. Y. Yıldırım
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+	ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)	1937	H. Davenport
+	Applications of the regularity lemma for uniform hypergraphs	2006	Vojtěch Rödl Jozef Skokan
+	On Triples in Arithmetic Progression	1999	Jean Bourgain
+ PDF	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao
+	Three Primes and an Almost-Prime in Arithmetic Progression	1981	I. Heath-Brown