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
收藏
页码：1129 / 1150
页数：22
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