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Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture

✍ Scribed by Bosser, Vincent; Surroca, Andrea


Book ID
125349193
Publisher
Springer
Year
2014
Tongue
English
Weight
199 KB
Volume
45
Category
Article
ISSN
1678-7714

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Elliptic Curves Satisfying the Birch and
✍ Kevin James πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 110 KB

In this paper, we give examples of elliptic curves for which a positive proportion of the quadratic twists satisfy a weak form of the Birch and Swinnerton Dyer conjecture modulo 3. 1999 Academic Press \*III(E &d Γ‚Q) > p c p (E &d Γ‚Q) \*E &d (Q) 2 tor + =0. (2)