14 citations · 53 across the 22 of their papers we have counts for
25 papers
Infinite products with algebraic numbers
Simon Kristensen, Mathias Løkkegaard Laursen
We obtain general criteria for giving a lower bound on the degree of numbers of the form or of the form $\prod_{m=1}^\infty \lef…
A Note on the Base- Expansions of Putative Counterexamples to the -adic Littlewood Conjecture
John Blackman, Simon Kristensen, Matthew J. Northey
In this paper, we investigate the base- expansions of putative counterexamples to the -adic Littlewood conjecture of de Mathan and Teulié. We show that if a counterexample ex…
BBP-type formulas -- an elementary approach
Simon Kristensen, Oskar Mathiasen
We provide a simple way of searching for formulas of the Bailey--Borwein--Plouffe type together with an algorithm and an implementation in \texttt{sage}. Aside from rediscovering s…
The -adic Duffin--Schaeffer conjecture
Simon Kristensen, Mathias Løkkegaard Laursen
We prove Haynes' version of the Duffin--Schaeffer conjecture for the -adic numbers. In addition, we prove several results about an associated related but false conjecture, relat…
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 of algebraic integers of bounded…
Arithmetic properties of series of reciprocals of algebraic integers
Simon Bruno Andersen, Simon Kristensen
We obtain results bounding the degree of the series , where is a sequence of algebraic integers satisfying certain algebraic conditions and gro…