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On the representation of integers by binary quadratic forms
Published 1 Apr 2017 in math.NT | (1704.00221v2)
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 $(u,v)$.
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