Simon Bruno Andersen

collaborators

2 papers

math.NT2019

Irrationality and transcendence of continued fractions with algebraic integers

Simon Bruno Andersen, Simon Kristensen

We extend a result of Hančl, Kolouch and Nair on the irrationality and transcendence of continued fractions. We show that for a sequence ${α_{n}}$ of algebraic integers of bounded…

math.NT2018

Arithmetic properties of series of reciprocals of algebraic integers

Simon Bruno Andersen, Simon Kristensen

We obtain results bounding the degree of the series $\sum_{n = 1}^{\infty} 1/ α_{n}$ , where ${α_{n}}$ is a sequence of algebraic integers satisfying certain algebraic conditions and gro…