SU\G(𝔸)/K·U

On sets of integers containing k elements in arithmetic progression

Endre Szemerédi

Type: Article

Publication Date: 1975-01-01

Citations: 733

DOI: https://doi.org/10.4064/aa-27-1-199-245

Locations

Similar Works

Action Title Year Authors
+ On sets of integers containing no four elements in arithmetic progression 1969 Endre Szemerédi
+ On sequences of positive integers containing arithmetical progressions 2005 Tibor Šalát
Jana Tomanová
+ On Sequences of Integers with No 4, or No 5 Numbers in Arithmetical Progression 1967 S. S. Wagstaff
+ The Union of Arithmetic Progressions with Differences not Less than k 1972 RB Crittenden
C. L. Vanden Eynden
+ Arithmetic structure in sets of integers 2008 Julia Wolf
+ Of Arithmetical Progressions 1972 Leonard Euler
+ On partitioning integers into progression free sets 1972 H. L. Abbott
A.C Liu
+ On Arithmetical Progression 2014 James Wood
+ On arithmetic progressions in sums of sets of integers 2012 Jean Bourgain
+ On Triples in Arithmetic Progression 1999 Jean Bourgain
+ PDF On disjoint arithmetic progressions 2005 Yong-Gao Chen
+ On Squares in Arithmetic Progression 1966 Merton Taylor Goodrich
+ PDF On the structure of sets with many k-term arithmetic progressions 2009 György Elekes
+ On prime numbers in an arithmetical progression 1958 Stanisław Knapowski
+ On squarefree numbers in arithmetic progressions 1969 Richard Warlimont
+ Integers, No Three in Arithmetic Progression 1968 Pou-Shun Chiang
Angus Macintyre
+ Integers, No Three in Arithmetic Progression 1968 Pou-Shun Chiang
Angus Macintyre
+ On the distribution of $$({\varvec{k, r}})$$-integer in an arithmetic progression 2021 Teerapat Srichan
+ PDF On Integers Nonrepresentable by a Generalized Arithmetic Progression 2005 Gretchen L. Matthews
+ Integer sets containing no arithmetic progressions 1990 Endre Szemerédi

Works That Cite This (706)

Action Title Year Authors
+ Frisos imperfeitos de números inteiros 2012 Mário Bessa
Maria Carvalho
+ PDF On product of difference sets for sets of positive density 2018 Alexander Fish
+ PDF Chat A uniform set with fewer than expected arithmetic progressions of length 4 2020 W. T. Gowers
+ PDF Chat Host–Kra theory for -systems and multiple recurrence 2021 Or Shalom
+ PDF Hardy's legacy to number theory 1998 R. C. Vaughan
+ PDF Chat Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences 2021 Kota Saito
Yuuya Yoshida
+ Positive topological entropy and Δ-weakly mixing sets 2016 Wen Huang
Jian Li
Xiangdong Ye
Xiaoyao Zhou
+ Online containers for hypergraphs, with applications to linear equations 2016 David Saxton
Andrew Thomason
+ Divide and Conquer: Dividing Lines and Universality 2021 Saharon Shelah
+ A short nonalgorithmic proof of the containers theorem for hypergraphs 2018 Anton Bernshteyn
Michelle Delcourt
Henry Towsner
Anush Tserunyan

Works Cited by This (0)

Action Title Year Authors