14 citations · 39 across the 5 of their papers we have counts for
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math.NT2014
An asymptotic for the average number of amicable pairs for elliptic curves
James Parks
Amicable pairs for a fixed elliptic curve defined over were first considered by Silverman and Stange where they conjectured an order of magnitude for the function that…
math.NT2014★ 14 cited
Low-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture
Daniel Fiorilli, James Parks, Anders Södergren
We study the low-lying zeros of L-functions attached to quadratic twists of a given elliptic curve E defined over . We are primarily interested in the family of all twis…
math.NT2014★ 6 cited
Amicable pairs and aliquot cycles on average
James Parks
Silverman and Stange defined the notion of an aliquot cycle of length for a fixed elliptic curve , and conjectured an order of magnitude for the function that cou…