A Diophantine equation involving fifth powers (Q1594928)
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: A Diophantine equation involving fifth powers |
scientific article; zbMATH DE number 1558722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Diophantine equation involving fifth powers |
scientific article; zbMATH DE number 1558722 |
Statements
A Diophantine equation involving fifth powers (English)
0 references
30 January 2001
0 references
The paper presents a parametric solution of the Diophantine equation \[ aX_1^5+ bX_2^5+ cX_3^5+ dX_4^5= aY_1^5+ bY_2^5+ cY_3^5+ dY_4^5, \] where \(a\), \(b\), \(c\), \(d\) are arbitrary non-zero integers, by elementary methods.
0 references
quintic Diophantine equations
0 references
equal sums of fifth powers
0 references
parametric solution
0 references
