Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.
K. Rubin (1987)
Inventiones mathematicae
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Displaying similar documents to “Elliptic Curves With Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer.”
Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication.
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Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves
Min Sha, Igor E. Shparlinski (2015)
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We obtain new results concerning the Lang-Trotter conjectures on Frobenius traces and Frobenius fields over single and double parametric families of elliptic curves. We also obtain similar results with respect to the Sato-Tate conjecture. In particular, we improve a result of A. C. Cojocaru and the second author (2008) towards the Lang-Trotter conjecture on average for polynomially parameterised families of elliptic curves when the parameter runs through a set of rational numbers of...
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The Shafarevich-Tate Conjecture for Pencils of Elliptic Curves on K3 Surfaces.
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Experimental Mathematics
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Ralph Greenberg (1983)
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K. Rubin (1987)
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Experimental Mathematics
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