Frequency of order two vanishing of quadratic twists (Conrey, Keating, Rubinstein, and Snaith)

Brian Conrey, Jon Keating, Mike Rubinstein, and Nina Snaith. On the frequency of vanishing of quadratic twists of modular L-functions. [ arXiv:math.NT/0012043]

This paper was the first to use random matrix theory to investigate the frequency of higher ranks in a family of elliptic curves.

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