학술논문
À propos de l'équation fonctionnelle $f(m^2+Dmn+n^2)=f(m)^2 +Df(m)f(n)+f(n)^2$.
Document Type
Journal
Author
Langlois, Bruno (F-LBP) AMS Author Profile
Source
Subject
39 Difference and functional equations -- 39A Difference equations
39A10Difference equations, additive
39A10
Language
English
French
French
Abstract
Summary: ``When $D \in\{4, 5, 6\}$, we prove that the only solution to the functional equation $f(m^2 + Dmn + n^2) = f(m)^ 2 + Df(m)f(n) + f(n)^ 2$ with $f(1) = 1$ is the identity function.''