WEIGHTED ERDOS-KAC TYPE THEOREMS OVER GAUSSIAN FIELD IN SHORT INTERVALS

被引：2

作者：

Liu, X-L ^{[1
]}

Yang, Z-S ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China

来源：

ACTA MATHEMATICA HUNGARICA | 2020年 / 162卷 / 02期

关键词：

ideal counting function; Erdos-Kac theorem; Gaussian field; short interval; mean value estimate; IDEALS; NUMBER;

D O I：

10.1007/s10474-020-01087-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that K is Gaussian field, and a(K)(n) is the number of non-zero integral ideals in Z[i] with norm n. We establish an Erdos-Kac type theorem weighted by a(K)(n(2))(l) (l is an element of Z(+)) in short intervals. We also establish an asymptotic formula for the average behavior of a(K)(n(2))(l) in short intervals.

引用

页码：465 / 482

页数：18

共 6 条

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