The classical fact that every positive integer is a sum of four squares led to the much more general study of universal quadratic forms. Their behavior over extensions of the integers by elements such ...

Abstract: The maximization of a full-rank quadratic form over the binary alphabet can be performed through exponential-complexity exhaustive search. However, if the rank of the form is not a function ...

Let the random variable X = (X1, X2, ⋯, Xn) have the probability density $p(x) = \frac{\det^{\frac{1}{2}} \Omega}{(2\pi)^{n/2}} e^{-\frac{1}{2}x\Omega x'}$ where ...

We present a theory of classifying quadratic forms over an algebraic number field which is a reformulation of Eichler's methods and different from the traditional theory of Hasse. As applications we ...

Abstract: Static biometrie images are not private and may be copied to make a physical and digital stimulant without an owner being aware of it, therefore the search for efficient solutions of ...