On a Pythagorean functional equation involving finite fields (Q1384130)
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: On a Pythagorean functional equation involving finite fields |
scientific article; zbMATH DE number 1140109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a Pythagorean functional equation involving finite fields |
scientific article; zbMATH DE number 1140109 |
Statements
On a Pythagorean functional equation involving finite fields (English)
0 references
11 October 1998
0 references
The authors offer as nonconstant general solutions \(f\) -- a map of a field with \(p^{n}\) elements, \(p\) prime, into itself -- of the functional equation \(f(x^{2}+y^{2})=f(x)^{2}+f(y)^{2}\) the powers of the Frobenius automorphisms of the field if \(p\) is odd; and also the solutions for \(p=2\).
0 references
Pythagorean functional equations
0 references
finite fields
0 references
polynomials
0 references
Frobenius automorphism
0 references
