Abstract
We show that the unboundedness of the ranks of the quadratic twists of an elliptic curve is equivalent to the divergence of certain infinite series.
Citation
Karl Rubin. Alice Silverberg. "Ranks of elliptic curves in families of quadratic twists." Experiment. Math. 9 (4) 583 - 590, October 2000.
Information
Published: October 2000
First available in Project Euclid: 20 February 2003
zbMATH: 0959.11023
MathSciNet: MR1806293
Subjects:
Primary:
11G05
Rights: Copyright © 2000 A K Peters, Ltd.
