Transcendentalism

An important chapter in the theory of distribution of zeros of entire functions pertains to the study of linear operators acting on entire functions. This dissertation presents new results involving not only linear, but also some non-linear operators.

104p caubeitnhnghich29 06-03-2014 69 9   Download

Let b ≥ 2 be an integer. We prove that the b-ary expansion of every irrational algebraic number cannot have low complexity. Furthermore, we establish that irrational morphic numbers are transcendental, for a wide class of morphisms. In particular, irrational automatic numbers are transcendental. Our main tool is a new, combinatorial transcendence criterion. 1. Introduction Let b ≥ 2 be an integer. The b-ary expansion of every rational number is eventually periodic, but what can be said about the b-ary expansion of an irrational algebraic number? ...

20p noel_noel 17-01-2013 43 6   Download