Small Algebraic Values of Twists of Elliptic $L$-Functions

Abstract

We consider heuristic predictions for small algebraic values of twists of the $L$-function of an elliptic curve $E/\mathbb{Q}$ by Dirichlet characters. We provide computational evidence for these predictions and consequences of them for instances of an analogue of the Brauer-Siegel theorem.Comment: 34 pages, 20 figures, Appendix by Jungbae Na

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This paper was published in arXiv.org e-Print Archive.

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