On the representation of integers by binary quadratic forms

Abstract

In this note we show that for a given irreducible binary quadratic form $f(x,y)$ with integer coefficients, whenever we have $f(x,y)=f(u,v)$ for integers $x,y,u,v$, there exists a rational automorphism of $f$ which sends $(x,y)$ to $(u,v)$.

References in corpus (1)

• On binary cubic and quartic forms

Cited by in corpus (1)

• A brief survey on the generalized Lebesgue-Ramanujan-Nagell equation