EUDML | On the vanishing of twisted -functions of elliptic curves.

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Displaying similar documents to “On the vanishing of twisted $L$ -functions of elliptic curves.”

Why is the class number of $ℚ (\sqrt[3]{11})$ even?

F. Lemmermeyer (2013)

Mathematica Bohemica

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In this article we will describe a surprising observation that occurred in the construction of quadratic unramified extensions of a family of pure cubic number fields. Attempting to find an explanation will lead us on a magical mystery tour through the land of pure cubic number fields, Hilbert class fields, and elliptic curves.

Random matrix theory and the Fourier coefficients of half-integral weight forms.

Conrey, J.B., Keating, Jonathan P., Rubinstein, M.O., Snaith, N.C. (2006)

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Variation of the root number in families of elliptic curves

David E. Rohrlich (1993)

Compositio Mathematica

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Numerical investigations related to the derivatives of the $L$ -series of certain elliptic curves.

Delaunay, C., Duquesne, S. (2003)

Experimental Mathematics

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Elliptic curves and class fields of real quadratic fields: Algorithms and evidence.

Darmon, Henri, Green, Peter (2002)

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On the determination of Gauss sums

John H. Loxton (1976-1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

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The splitting of primes in division fields of elliptic curves.

Duke, W., Tóth, Á. (2002)

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On Tate-Shafarevich groups of $y^{2} = x (x^{2} - k^{2})$ .

Lemmermeyer, F., Mollin, R. (2003)

Acta Mathematica Universitatis Comenianae. New Series

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No $17$ -torsion on elliptic curves over cubic number fields

Pierre Parent (2003)

Journal de théorie des nombres de Bordeaux

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We complete our previous determination of the torsion primes of elliptic curves over cubic number fields, by showing that $17$ is not one of those.