| Abstract [eng] |
An integer polynomial is called a Littlewood polynomial if all of its coefficients belong to {-1, 1}. An algebraic integer b>1 is called a Pisot number if all of its algebraic conjugates,except for b itself, lie in the unit disc {z: |z|<1}. We investigate the problem of proving that all of the limit points in the interval (1,2), which are Pisot numbers, are roots of Littlewood polynomials. The main result of this thesis implies this statement is true in the interval (1, 1.99999997019767). This improves the result obtained by Ziezys. |
