27 citations · 86 across the 16 of their papers we have counts for
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math.NT2013★ 10 cited
The distribution of 2-Selmer ranks of quadratic twists of elliptic curves with partial two-torsion
Zev Klagsbrun, Robert J. Lemke Oliver
This paper presents a new result concerning the distribution of 2-Selmer ranks in the quadratic twist family of an elliptic curve over an arbitrary number field K with a single poi…
math.NT2013★ 13 cited
A Markov model for Selmer ranks in families of twists
Zev Klagsbrun, Barry Mazur, Karl Rubin
We study the distribution of 2-Selmer ranks in the family of quadratic twists of an elliptic curve E over an arbitrary number field K. Under the assumption that Gal(K(E[2])/K) = S_…