49 citations · 127 across the 18 of their papers we have counts for
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math.NT2011
Characterizing Abelian Varieties by the Reductions of the Mordell-Weil Group
Chris Hall, Antonella Perucca
Let be an abelian variety defined over a number field . If is a prime of of good reduction for , let denote the image of the Mordel…
math.NT2011★ 2 cited
Radical characterizations of elliptic curves
Chris Hall, Antonella Perucca
Let K be a number field, and let E be an elliptic curve over K. A famous result by Faltings of 1983 can be reformulated for elliptic curves as follows: if S is a set of primes of g…
math.NT2011
Experimental Data for Goldfeld's Conjecture over Function Fields
Salman Baig, Chris Hall
This paper presents empirical evidence supporting Goldfeld's conjecture on the average analytic rank of a family of quadratic twists of a fixed elliptic curve in the function field…