Article ID Journal Published Year Pages File Type
4673189 Indagationes Mathematicae 2008 26 Pages PDF
Abstract

We attach a ring of sequences to each number from a certain class of extremal real numbers, and we study the properties of this ring both from an analytic point of view by exhibiting elements with specific behaviors, and also from an algebraic point of view by identifying it with the quotient of a polynomial ring over ℚ. The link between these points of view relies on combinatorial results of independent interest. We apply this theory to estimate the dimension of a certain space of sequences satisfying prescribed growth constraints.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)