Bh[g] sequences

被引：5

作者：

Cilleruelo, J ^{[1
]}

Jiménez-Urroz, J ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

MATHEMATIKA | 2000年 / 47卷 / 93-94期

关键词：

D O I：

10.1112/S0025579300015758

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New upper and lower bounds are given for F-h(g,N), the maximum size of a B-h[g] sequence contained in [1, N]. It is proved that F-h(g, N) less than or equal to (root3hh!gN)(1/h), and that, for any epsilon > 0 and g > g(epsilon, h), F-h(g, N) greater than or equal to ((1 - epsilon) rootpi/6 roothgN)(1/h) + o(N-1/h).

引用

页码：109 / 115

页数：7

共 15 条

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