Two explicit divisor sums

被引：5

作者：

Cully-Hugill, Michaela ^{[1
]}

Trudgian, Tim ^{[1
]}

机构：

[1] Univ New South Wales Canberra, Sch Sci, Canberra, ACT, Australia

来源：

RAMANUJAN JOURNAL | 2021年 / 56卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

Divisor function; Class numbers; Explicit results; UPPER-BOUNDS; DENSITY;

D O I：

10.1007/s11139-020-00333-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give explicit bounds on sums of d(n)(2) and d(4)(n), where d(n) is the number of divisors of n and d(4)(n) is the number of ways of writing n as a product of four positive integers. In doing so, we make a slight improvement on the upper bound for class numbers of quartic number fields.

引用

页码：141 / 149

页数：9

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