The main achievement of the thesis is the proof that 1+√17 is not a Mahler measure of an algebraic number. This answers a question of A. Schinzel posted in [6] in 2004. We also show that, theoretically, there exists an algorithm to reduce the shortness of a polynomial without changing its Mahler measure, a problem considered in [5] by J. McKee and C. Smyth. However the number of computations required makes this algorithm infeasible.
