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most citedLow-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture

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math.NT2013

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…