Cameron-Erdos modulo a prime

被引：10
|
作者：
Lev, VF [1 ]
Schoen, T
机构：
[1] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
[2] Univ Kiel, Dept Math, Kiel, Germany
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2002年 / 8卷 / 01期
关键词：
D O I：
10.1006/ffta.2001.0330
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for p prime and sufficiently large, the number of subset of Z(p) free of solutions of the equation x + y = z (that is, free of Schur triples) satisfies 2([(p-2)/3])(p-1)(1+O(2(-epsilon 1 p)))less than or equal to\SF[Z(p)]\ less than or equal to 2(p/2-epsilon 2 p), where epsilon(1) and epsilon(2) are positive absolute Constants. (C) 2002 Elsevier Science.
引用
收藏
页码：108 / 119
页数：12
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