On arithmetic structures in dense sets of integers

Duke Mathematical Journal

Volumn 114, Issue 2, 2002, Pages 215-238

  Green, Ben ^a  

^a TRINITY COLLEGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037104086     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-02-11422-7     Document Type: Article

References (16)

1. Polynomial extensions of van der Waerden's and Szemerédi's theorems
2. Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions
3. A new proof of Szemerédi's theorem for arithmetic progressions of length four
4. A new proof of Szemerédi's theorem
5. Sieve methods
6. Ten lectures on the interface between analytic number theory and harmonic analysis
7. Elementary methods in number theory
8. On sets of natural numbers whose difference set contains no squares
9. On certain sets of integers
10. Difference sets without squares
11. On difference sets of sequences of integers, I
12. On difference sets of sequences of integers, III
13. Small fractional parts of polynomials
14. On a result of Sárközy and Furstenberg
15. On sets of integers containing no k elements in arithmetic progression