On the set of divisors of Gaussian integers

被引：0

作者：

Maier, Helmut ^{[1
]}

Singh, Saurabh Kumar ^{[1
,2
]}

机构：

[1] Univ Ulm, Inst Number Theory & Probabil Theory, D-89069 Ulm, Germany

[2] Indian Stat Inst, Stat Math Unit, 203 BT Rd, Kolkata 700108, India

来源：

RAMANUJAN JOURNAL | 2019年 / 50卷 / 02期

关键词：

Gaussian integers; Divisor function; Erdos conjecture on divisor function;

D O I：

10.1007/s11139-019-00158-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In Maier and Tenenbaum (Invent Math 76(1):121-128, 1984), Tenenbaum and the first author proved an old conjecture of Paul Erdos about the propinquity of divisors of integers. In this paper, we prove an analogous results for Gaussian integers.

引用

页码：355 / 366

页数：12

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