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On positive proportion of rank zero twists of elliptic curves over Q
Published 20 Nov 2013 in math.NT | (1311.5105v1)
Abstract: Extending the idea of \cite{dab2} and using the 2-descent method, we provide three general families of elliptic curves over Q such that a positive proportion of prime-twists of such elliptic curves have rank zero simultaneously.
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