Ranks of elliptic curves in families of quadratic twists

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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.

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Number Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/79709

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9912249
 http://arxiv.org/abs/math/9912249

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arXiv