18 citations · 33 across the 6 of their papers we have counts for
5 papers · 1 filter
One-level density of families of elliptic curves and the Ratios Conjectures
Chantal David, Duc Khiem Huynh, James Parks
Using the ratios conjectures as introduced by Conrey, Farmer and Zirnbauer, we obtain closed formulas for the one-level density for two families of L-functions attached to elliptic…
Lower order terms for the moments of symplectic and orthogonal families of -functions
Ian P. Goulden, Duc Khiem Huynh, Rishikesh +1
We derive formulas for the terms in the conjectured asymptotic expansions of the moments, at the central point, of quadratic Dirichlet -functions, , and also of the…
A Random Matrix Model for Elliptic Curve L-Functions of Finite Conductor
Eduardo Dueñez, Duc Khiem Huynh, Jon P. Keating +2
We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of the critical zeros of these L-functions away from the center of the…
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…
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…