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arXiv · 2001.03547

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

Hershy Kisilevsky·Jungbae Nam
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Abstract

We consider heuristic predictions for small non-zero algebraic central 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 associated to $E/\mathbb{Q}$ extended to chosen families of cyclic extensions of fixed degree.

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Hershy Kisilevsky, Jungbae Nam. 2020-01-10. Small Algebraic Central Values of Twists of Elliptic $L$-Functions. https://arxiv.org/abs/2001.03547

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