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math.NT2011
Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields
Graeme Taylor
We give examples of points with particularly low height on elliptic curves over quadratic fields, recovered by a search over elliptic divisibility sequences. The smallest example i…
math.NT2011
Lehmer's conjecture for matrices over the ring of integers of some imaginary quadratic fields
G. Taylor
Let $R=\mathcal{O}_{\Q(\sqrt{d})}$ for , squarefree, . We prove Lehmer's conjecture for associated reciprocal polynomials of -matrices; that is, any noncycloto…