49 citations · 223 across the 37 of their papers we have counts for
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math.NT2015★ 9 cited
Elliptic curves, random matrices and orbital integrals
Jeff Achter, Julia Gordon, Salim Ali Altug
An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a product formula, in terms of congruence considerations inv…
math.NT2015★ 8 cited
Split abelian surfaces over finite fields and reductions of genus-2 curves
Jeff Achter, Everett W. Howe
For prime powers q, let s(q) denote the probability that a randomly-chosen principally-polarized abelian surface over the finite field F_q is not simple. We show that there are pos…