Difference sets and polynomials of prime variables

被引：12

作者：

Li, Hongze ^{[1
]}

Pan, Hao ^{[2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

ACTA ARITHMETICA | 2009年 / 138卷 / 01期

基金：

中国国家自然科学基金;

关键词：

difference set; polynomial of prime variable; density; SEQUENCES; THEOREM; NUMBERS;

D O I：

10.4064/aa138-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：25 / 52

页数：28

共 28 条

[1]

[Anonymous], ANN MATH IN PRESS

[2] DIFFERENCE SETS WITHOUT KAPPA-TH POWERS [J].

BALOG, A ;

PELIKAN, J ;

PINTZ, J ;

SZEMEREDI, E .

ACTA MATHEMATICA HUNGARICA, 1994, 65 (02) :165-187

[3] Polynomial extensions of van der Waerden's and Szemeredi's theorems [J].

Bergelson, V ;

Leibman, A .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 9 (03) :725-753

[4]

Bergelson V., 2008, Colloquium Mathematicum, V110, P1, DOI [10.4064/cm110-1-1, DOI 10.4064/CM110-1-1]

[5] ON LAMBDA-L (P)-SUBSETS OF SQUARES [J].

BOURGAIN, J .

ISRAEL JOURNAL OF MATHEMATICS, 1989, 67 (03) :291-311

[6]

Bourgain J., 1993, GEOM FUNCT ANAL, V3, P107

[7]

Davenport A., 1967, Grad. Texts in Math.

[8] Multiple recurrence and convergence for sequences related to the prime numbers [J].

Frantzikinakis, Nikos ;

Host, Bernard ;

Kra, Bryna .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2007, 611 :131-144

[9] ERGODIC BEHAVIOR OF DIAGONAL MEASURES AND A THEOREM OF SZEMEREDI ON ARITHMETIC PROGRESSIONS [J].

FURSTENBERG, H .

JOURNAL D ANALYSE MATHEMATIQUE, 1977, 31 :204-256

[10] A new proof of Szemeredi's theorem [J].

Gowers, WT .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 2001, 11 (03) :465-588

← 1 2 3 →