Pisot and Salem Numbers

a₁ adeles algebraic elements algebraic integers algebraic numbers algorithm an+1 an+2 archimedean absolute value associated Boyd sequence Chapter characterization compact conjugates contains the archimedean converges Corollary D.W. BOYD deduce defined Definition degree denote disk D(0 equal expansion F belongs finite number finite rank following theorem formal power series function f GRANDET-HUGOT Hence implies In+1 integer coefficients irreducible Koksma's theorem Lemma Let f limit points Math matrix meromorphic minimal polynomial Moreover non-zero obtain Pisot and Salem Pisot numbers Pisot sequence proof of Theorem properties Proposition prove rational function rational integer real number reciprocal polynomial recurrent relatively prime resp Rouché's theorem S-number Salem numbers satisfying Schur Schur transform subset Suppose Taylor series u.d. mod u₁ Un+1 uniformly distributed modulo zeros in D(0 απ ΜΕΝ