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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.

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Difference of two sums of two squares [closed]

Is there a way to prove that if n = (a^2 + b^2) - (c^2 + d^2), then for every natural n, there are infinitely many a, b, c and d?