Papers on zero statistics near the central point of elliptic curve
-functions:
[1] [S. J. Miller] Investigations of Zeros Near the Central Point of Elliptic Curve L-Functions (with an appendix by Eduardo Duenez), Experimental Mathematics, vol 15 (2006), no. 3, 257-279.
Numerical investigations of how the distribution of the first few zeros above the central point depends on the rank of the family and the size of the conductor, and a description of the independent and interaction models for zeros near the central point.
[2] [S. J. Miller] 1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group Symmetries, Compositio Mathematica, vol 140, Issue 4, July 2004, 952-992
An analysis of the behavior of the zeros near the central point in the limit as the conductors tend to infinity.
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