Progression-free sets in $\mathbb Z_4^n$ are exponentially small
暂无分享,去创建一个
[1] Endre Szemerédi,et al. Integer sets containing no arithmetic progressions , 1990 .
[2] Roy Meshulam,et al. On Subsets of Finite Abelian Groups with No 3-Term Arithmetic Progressions , 1995, J. Comb. Theory, Ser. A.
[3] Vojtech Rödl,et al. On subsets of abelian groups with no 3-term arithmetic progression , 1987, J. Comb. Theory, Ser. A.
[4] K. F. Roth. On Certain Sets of Integers , 1953 .
[5] T. Sanders. Roth’s theorem in ℤ4n , 2008, 0807.5101.
[6] Tom Sanders,et al. On certain other sets of integers , 2010, 1007.5444.
[7] Jean Bourgain,et al. On Triples in Arithmetic Progression , 1999 .
[8] Vsevolod F. Lev. Character-free approach to progression-free sets , 2012, Finite Fields Their Appl..
[9] Michael Bateman,et al. New Bounds on cap sets , 2011 .
[10] Vsevolod F. Lev,et al. Progression-free sets in finite abelian groups , 2004 .
[11] D. R. Heath-Brown. Integer Sets Containing No Arithmetic Progressions , 1987 .
[12] Tom C. Brown,et al. A Density Version of a Geometric Ramsey Theorem , 1982, J. Comb. Theory, Ser. A.
[13] Thomas F. Bloom,et al. A quantitative improvement for Roth's theorem on arithmetic progressions , 2014, J. Lond. Math. Soc..
[14] T. Sanders. On Roth's theorem on progressions , 2010, 1011.0104.