Ranks of elliptic curves in families of quadratic twists

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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. © A K Peters, Ltd.

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APA

Rubin, K., & Silverberg, A. (2000). Ranks of elliptic curves in families of quadratic twists. Experimental Mathematics, 9(4), 583–590. https://doi.org/10.1080/10586458.2000.10504661

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