The least common multiple of a quadratic sequence

被引：14

作者：

Cilleruelo, Javier ^{[1
,2
]}

机构：

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

[2] CSIC UAM UC3M UCM, Inst Ciencias Matemat, Madrid 28049, Spain

来源：

COMPOSITIO MATHEMATICA | 2011年 / 147卷 / 04期

关键词：

least common multiple; quadratic sequences; equidistribution of roots of quadratic congruences;

D O I：

10.1112/S0010437X10005191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any irreducible quadratic polynomial f(x) in Z[x], we obtain the estimate log l.c.m.(f(1), ..., f(n)) = n log n + Bn + o(n), where B is a constant depending on f.

引用

页码：1129 / 1150

页数：22

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