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Showing 2010 · math.NTShow all
3 papers · 2 filters
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.NT2010★ 9 cited
Effective equidistribution and the Sato-Tate law for families of elliptic curves
Steven J. Miller, M. Ram Murty
Extending recent work of others, we provide effective bounds on the family of all elliptic curves and one-parameter families of elliptic curves modulo p (for p prime tending to inf…
math.NT2010
Low-lying Zeros of Number Field -functions
Steven J. Miller, Ryan Peckner
One of the most important statistics in studying the zeros of L-functions is the 1-level density, which measures the concentration of zeros near the central point. Fouvry and Iwani…