An asymptotic formula for an arithmetic sum (Q1823983)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: An asymptotic formula for an arithmetic sum |
scientific article; zbMATH DE number 4116636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An asymptotic formula for an arithmetic sum |
scientific article; zbMATH DE number 4116636 |
Statements
An asymptotic formula for an arithmetic sum (English)
0 references
1989
0 references
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)].
0 references
sums of cubes
0 references
number of divisors
0 references
asymptotic formula
0 references
