2 papers
math.NT2010
An elliptic curve test of the L-Functions Ratios Conjecture
Duc Khiem Huynh, Steven J. Miller, Ralph Morrison
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in…
math.NT2008
Lower Order Terms for the One-Level Density of Elliptic Curve L-Functions
D. K. Huynh, J. P. Keating, N. C. Snaith
It is believed that, in the limit as the conductor tends to infinity, correlations between the zeros of elliptic curve -functions averaged within families follow the distributio…