On the representation of integers by binary quadratic forms

Stanley Yao Xiao

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arXiv · 1704.00221

On the representation of integers by binary quadratic forms

Stanley Yao Xiao

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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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Stanley Yao Xiao. 2017-04-01. On the representation of integers by binary quadratic forms. https://arxiv.org/abs/1704.00221

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