Pisot Vijayaraghavan Number

High Quality Content by WIKIPEDIA articles! In mathematics, a Pisot Vijayaraghavan number, also called simply a Pisot number or a PV number, is an algebraic integer that is real and exceeds 1, but such that its conjugate elements (the other roots of its minimal polynomial) are all less than 1 in magnitude. That is, there is an irreducible monic polynomial (leading coefficient 1) with integer coefficients P(x), 1, is a real root, every other real root of P(x) has absolute value less than 1 and each pair of complex conjugate pair of roots {a + bi, a bi} has product a2 + b2 1.

Klappentext

High Quality Content by WIKIPEDIA articles! In mathematics, a Pisot-Vijayaraghavan number, also called simply a Pisot number or a PV number, is an algebraic integer a that is real and exceeds 1, but such that its conjugate elements (the other roots of its minimal polynomial) are all less than 1 in magnitude. That is, there is an irreducible monic polynomial (leading coefficient 1) with integer coefficients P(x), a 1, is a real root, every other real root of P(x) has absolute value less than 1 and each pair of complex conjugate pair of roots {a + bi, a - bi} has product a2 + b2 1.