Freiman's inverse problem with small doubling property

Advances in Mathematics - Tập 216 - Trang 711-752 - 2007
Renling Jin1
1Department of Mathematics, College of Charleston, Charleston, SC 29424, USA

Tài liệu tham khảo

Bilu, 1999, Structure of sets with small sumset, Astérisque, 258, 77 Bordes, 2005, Sum-sets of small upper density, Acta Arith., 119, 187, 10.4064/aa119-2-4 1999, Astérisque, 258 Freiman, 1960, Inverse problem of additive number theory. IV. On addition of finite sets, II, Ucen. Zap. Elabuz. Gos. Ped. Inst., VIII, 72 Freiman, 1973, Foundations of a Structural Theory of Set Addition, vol. 37 Freiman, 2002, Structure theory of set addition. II. Results and problems. Paul Erdös and his mathematics, I, vol. 11, 243 Halberstam, 1966 Hamidoune, 2002, A generalization of Freiman's 3k−3 theorem, Acta Arith., 103, 147, 10.4064/aa103-2-4 Henson, 1997, Foundations of nonstandard analysis—A gentle introduction to nonstandard extension Jin, 2001, Nonstandard methods for upper Banach density problems, J. Number Theory, 91, 20, 10.1006/jnth.2001.2671 Jin, 2006, Solution to the inverse problem for upper asymptotic density, J. Reine Angew. Math. (Crelle's J.), 595, 121 Jin V. Lev, On the structure of sets of integers with small doubling property, unpublished manuscripts, 1995 Lev, 1995, On addition of two distinct sets of integers, Acta Arith., 70, 85, 10.4064/aa-70-1-85-91 Lindstrom, 1988, An invitation to nonstandard analysis, 1 Nathanson, 1996