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Results tagged with discriminant
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user 122721
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Is the set of integers represented by a quadratic form of non-fundamental discriminant a sub...
Conjecture:
Let $Q$ be a form of non-fundamental discriminant $\Delta$. Let $K=\mathbb{Q}(\sqrt{\Delta})$ be the associated quadratic field of discriminant $\Delta_K$ (which we note is fundamental). … Then $R\subseteq R_K$, where $R_K=\{m: m=Q_K(x,y), x,y\in\mathbb{Z}\}$ for a fixed form $Q_K$ of fundamental discriminant $\Delta_K$.
Example: Let $Q(x,y)=x^2+8y^2$. Then $\Delta=-32$. …
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