An asymptotic formula for an arithmetic sum
type: Item
instance of: scholarly article
title: An asymptotic formula for an arithmetic sum
zbMATH Open document ID: 0682.10034
author: Nguyen Hak Thang
published in: Moscow University Mathematics Bulletin
publication date: 1989-01-01T00:00:00Z
review text: Let d(n) denote the number of divisors of n. An asymptotic formula is derived for the sum \(\sum d(x^ 3+y^ 3+z^ 3),\) which is extended over all non-negative integers x, y, z with \(x^ 3+y^ 3+z^ 3\leq N.\) The investigations are based on \textit{C. Hooley}'s work in Waring's problem for two squares and three cubes [J. Reine Angew. Math. 328, 161- 207 (1981; Zbl 0463.10036)].
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11P05
Mathematics Subject Classification ID: 11D85
zbMATH DE Number: 4116636
zbMATH Keywords: sums of cubes
zbMATH Keywords: number of divisors
zbMATH Keywords: asymptotic formula
reviewed by: Ekkehard Krätzel
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4116636