Towards an ‘average’ version of the Birch and Swinnerton-Dyer conjecture

John Goes, Steven J. Miller

Type: Article

Publication Date: 2010-07-02

Citations: 6

DOI: https://doi.org/10.1016/j.jnt.2010.04.002

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Journal of Number Theory - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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+	Small first zeros of $$L$$ L -functions	2014	Damien Bernard
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+	Modeling Convolutions of $L$-Functions	2010	Steven J. Miller Ralph Morrison
+ PDF Chat	A random matrix model for elliptic curve<i>L</i>-functions of finite conductor	2012	Eduardo Duéñez Duc Khiem Huynh Jonathan P. Keating Steven J. Miller N C Snaith
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Works Cited by This (53)

Action	Title	Year	Authors
+	Rang moyen de familles de courbes elliptiques et lois de Sato-Tate	1995	Philippe Michel
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman
+	Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions	2005	J. Brian Conrey Atul Pocharel Michael Rubinstein Mark E. Watkins
+	Conjectures on elliptic curves over quadratic fields	1979	Dorian Goldfeld
+	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak
+	Applications of sieve methods to the theory of numbers	1976	C. Hooley
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz
+ PDF Chat	Rational Points on Elliptic Curves	2015	Joseph H. Silverman John Tate
+	On the behaviour of root numbers in families of elliptic curves	2004	H. A. Helfgott