1 citations · 1 across the 4 of their papers we have counts for
4 papers
Transcendence of certain sequences of algebraic numbers
Mathias L. Laursen
Using Schmidt's Subspace Theorem, this paper improves and extends an existing transcendence result for sequences of algebraic numbers. The theorems thus produced correspond to a ce…
Attainable measures for certain types of p-adic Duffin--Schaeffer sets
Mathias Løkkegaard Laursen
This paper settles recent conjectures concerning the -adic Haar measure applied to a family of sets defined in terms of Diophantine approximation. This is done by determining th…
Algebraic degree of series of reciprocal algebraic integers
Mathias Løkkegaard Laursen
In this paper, I give sufficient conditions for any linear combination in of numbers , , $\sum_{n=1}^{\infty}\frac{…
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…