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Results tagged with quadratic-forms
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user 31469
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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Number of roots of a quadratic form over GF2
(I assume you mean roots over $\mathbb{F}_2$.) This was done by Carlitz in the paper "Gauss sums over finite fields of order $2^n$" (Acta Arith. 15, 247-265 (1969)).
Let $r \ge 1$ be the rank of $A$ ( …
- 14.6k
0
votes
Number of solutions of quadratic equation from a perfect pairing over $\mathbb{Z}/p^n\mathbb...
Your claim is never true for $n=1$, assuming nondegeneracy. This gives also many counterexamples for $n>1$ using Hensel's lemma.
In Lidl and Niederreiter's book "Finite Fields", 2nd edition, Chapter 6 …
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