On sum-product bases

被引：2
|
作者：
Hegyvari, Norbert [1 ]
机构：
[1] Eotvos Lorand Univ, ELTE TTK, Inst Math, H-1117 Budapest, Hungary
来源：
RAMANUJAN JOURNAL | 2009年 / 19卷 / 01期
关键词：
Thin bases; Sum-product bases;
D O I：
10.1007/s11139-008-9154-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate additive-multiplicative bases in F-p. Let A, B subset of F-p*, s > 2, and lambda(1), lambda(2),..., lambda(s) is an element of Fp*. It is proved that Sigma(s)(i=1) lambda(i) AB = F-p, provided min {|B|(s/2)|A|((s-2)/2), |A|(s/2)|B|((s-2)/2)} > p(s/2).
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页码：1 / 8
页数：8
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