We prove that, for all d 4, there are Salem numbers of degree 2d and trace -1, and that the number of such Salem numbers is d/ (log log d)2 . As a consequence, it follows that the...
Abstract. In the course of their work on Salem numbers and uniform distribution modulo 1, A. Akiyama and Y. Tanigawa proved some inequalities concerning the values of the Bessel fu...