On the Frequency of Vanishing of Quadratic Twists of Modular L-Functions

Conrey, J.B.; Keating, J.P.; Rubinstein, M.O.; Snaith, N.C.

HPL-BRIMS-2000-23

Keyword(s): random matrix theory; L-functions; Birch-Swinnerton- Dyer conjecture

Abstract: We present theoretical and numerical evidence for a random matrix theoretical approach to a conjecture about vanishings of quadratic twists of certain L- functions. Notes: J.B. Conrey, The American Institute of Mathematics, 360 Portage Avenue, Palo Alto, CA 94306, USA M.O. Rubinstein, Department of Mathematics, University of Texas at Austin, Austin, TX 78712-1082, USA N.C. Snaith, School of Mathematics, University of Bristol, University Walk, Bristol, BS8 1TW, UK

9 Pages

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