Sums of two squares and one biquadrate (Q1032763)
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: Sums of two squares and one biquadrate |
scientific article; zbMATH DE number 5620910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of two squares and one biquadrate |
scientific article; zbMATH DE number 5620910 |
Statements
Sums of two squares and one biquadrate (English)
0 references
26 October 2009
0 references
In this note the authors prove the following Theorem: Let \(p\) be a prime with \(p \equiv 7 \bmod 8\). Then there are no positive integers \(x,y,z\) with \(x^2 + y^2 + z^4 = p^2\).
0 references
Sums of squares
0 references
Waring's problem for mixed powers
0 references
