The generality of a section of a curve
- Award ID(s):
- 1802908
- NSF-PAR ID:
- 10387590
- Date Published:
- Journal Name:
- Journal of the London Mathematical Society
- Volume:
- 104
- Issue:
- 2
- ISSN:
- 0024-6107
- Page Range / eLocation ID:
- 886 to 925
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
In this paper we show that every set A⊂ℕ with positive density contains B+C for some pair B,C of infinite subsets of ℕ, settling a conjecture of Erd\H os. The proof features two different decompositions of an arbitrary bounded sequence into a structured component and a pseudo-random component. Our methods are quite general, allowing us to prove a version of this conjecture for countable amenable groups.more » « less