We want to decide whether given algebraic numbers satisfy an integer relation shorter than a given bound. This will be done by deciding whether a suitably chosen lattice contains a short vector, which ...

The PSLQ procedure can be regarded as a jazzed-up version of an integer-relation algorithm dating back more than 2,000 years to the Greek geometer Euclid of Alexandria (365–300 B.C.). The Euclidean ...

This is a preview. Log in through your library . Abstract Let $x = (x_1, x_2,\ldots, x_n)$ be a vector of real numbers. $x$ is said to possess an integer relation if ...