The distribution of values of the enumerating function of finite, non-isomorphic abelian groups in short intervals

被引：1

作者：

Kraetzel, Ekkehard ^{[1
]}

机构：

[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria

来源：

ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 06期

关键词：

Finite abelian groups; square-free numbers;

D O I：

10.1007/s00013-008-2732-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The result is: The distribution of values of the enumerating function of finite, non-isomorphic abelian groups in short intervals is similar to the distribution of square-free numbers in short intervals. Moreover, a new estimate of the error term in the corresponding asymptotic formula is given, which improves former estimates.

引用

页码：518 / 525

页数：8

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