Problem 94 (Q1102965)
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: Problem 94 |
scientific article; zbMATH DE number 4051634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Problem 94 |
scientific article; zbMATH DE number 4051634 |
Statements
Problem 94 (English)
0 references
1988
0 references
The problem is the following: Given integers \(n, m\), how many distinct solutions \(\{a,b,c\}\) are there to the system of equations \(a+b+c=m\), \(a^ 2+b^ 2+c^ 2=n\) with \(a\geq b\geq c\geq 0?\) Mind that the problem was solved with the condition of non-negativity removed for \(a, b\), and \(c\) by \textit{N. G. De Bruijn} in Nieuw. Arch. Wisk., 2. Ser. 22, 53-56 (1943; Zbl 0028.34402).
0 references
