Just a brief note that my second paper on my thesis topic has been accepted by the Journal of Number Theory. The full citation is: Graeme Taylor, Lehmer’s conjecture for matrices over the ring of integers of some imaginary quadratic fields, Journal of Number Theory, Volume 132, Issue 4, April 2012, Pages 590-607, ISSN 0022-314X, [...]
Archive of posts filed under the Papers category.
Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields
I have uploaded a preprint of my third paper to the arXiv. In a break from my cyclotomic matrix work, this revisits a project I first became interested in over four years ago: the search for points with small height on elliptic curves over number fields, through the use of elliptic divisibility sequences. There used [...]
Cyclotomic Matrices and Graphs over the ring of integers of some imaginary quadratic fields
Online access to my first paper.
