WEIGHTED ERDOS-KAC TYPE THEOREM OVER QUADRATIC FIELD IN SHORT INTERVALS

被引：0

作者：

Liu, Xiaoli ^{[1
]}

Yang, Zhishan ^{[1
]}

机构：

[1] Qingdao Univ, 308 Ningxia Rd, Qingdao 266071, Shandong, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2022年 / 72卷 / 04期

关键词：

ideal counting function; Erdos-Kac theorem; quadratic field; short intervals; mean value; INTEGRAL IDEALS; NUMBER;

D O I：

10.21136/CMJ.2022.0203-21

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a quadratic field over the rational field and a(K) (n) be the number of nonzero integral ideals with norm n. We establish Erdos-Kac type theorems weighted by a(K) (n)(l) and a(K) (n(2))(l) of quadratic field in short intervals with l is an element of Z(+). We also get asymptotic formulae for the average behavior of a(K) (n)(l) and a(K) (n(2))(l) in short intervals.

引用

页码：957 / 976

页数：20

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