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Results tagged with quadratic-forms
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user 23571
Algebraic and geometric theory of quadratic forms and symmetric bilinear forms, e.g., values attained by quadratic forms, isotropic subspaces, the Witt ring, invariants of quadratic forms, the discriminant and Clifford algebra of a quadratic form, Pfister forms, automorphisms of quadratic forms.
5
votes
Integral solutions of quadratic equation $5 X² − 14 XY + 5 Y² = n$
Conway's construction of the topograph of a quadratic form $ax^2 + bxy +cy^2$ gives a way to find all integer solutions of an equation $ax^2 + bxy +cy^2=n$ since the topograph displays all the solutio …
- 20k
8
votes
Accepted
Representation of two related integers by the same binary quadratic form
This question can be answered by general theory, at least when $\Delta$ is a fundamental discriminant (so it's not a square times a smaller discriminant). Assuming this, the general procedure for fin …
- 20k