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.
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页码：141 / 149
页数：9
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