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Results tagged with sums-of-squares
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user 56721
5
votes
Intuition for the last step in Serre's proof of the three-squares theorem
The Lemma in the aswer by Bjorn Poonen can be sharpened to give an exact relationship
between $\mathrm{den}(x)$ and $\mathrm{den}(x')$.
Lemma 1.
$~$Let $f=f_2+f_1+f_0\in\mathbb{Z}[X]=\mathbb{Z}[ …
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