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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★ 3 cited
Modeling Convolutions of -Functions
Steven J. Miller, Ralph Morrison
A number of mathematical methods have been shown to model the zeroes of -functions with remarkable success, including the Ratios Conjecture and Random Matrix Theory. In order to…