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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.

20 votes
3 answers
2k views

Primes of the form $x^2+ny^2+mz^2$ and congruences.

This is a sequel of this question where I asked for which positive integer $n$ the set of primes of the former $x^2+ny^2$ was defined by congruences (a set of primes $P$ is defined by congruences if t …
Joël's user avatar
  • 26k
15 votes
2 answers
2k views

Primes and $x^2+2y^2+4z^2$

A few months ago, I have asked a question about primes represented by ternary quadratic forms. I got two wonderful answers, which showed me how the theory was way richer and more complex that I naivel …
Joël's user avatar
  • 26k