%0 Journal Article
%T Thue's Fundamentaltheorem, II: Further Refinements and Examples
%A Paul Voutier
%J Mathematics
%D 2009
%I arXiv
%R 10.1016/j.jnt.2015.08.008
%X In this paper, we sharpen and simplify our earlier results based on Thue's Fundamentaltheorem and use it to obtain effective irrationality measures for certain roots of polynomials of the form $(x-\sqrt{t})^{n}+(x+\sqrt{t})^{n}$, where $n \geq 4$ is a positive integer and $t$ is a negative integer. For $n=4$ and $n=5$, we find infinitely many such algebraic numbers.
%U http://arxiv.org/abs/0901.1637v3