One-level density of the family of twists of an elliptic curve over function fields

DOI10.1016/j.jnt.2022.03.005OpenAlexW3114842948WikidataQ113870308 ScholiaQ113870308MaRDI QIDQ2167495

Antoine Comeau-Lapointe

Publication date: 25 August 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.09947

zbMATH Keywords

function fieldselliptic curvesfinite fieldszeta functionsL-functionDirichlet charactersone-level densityaverage ranktwisted L-functions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (4)

Local statistics for zeros of Artin-Schreier 𝐿-functions ⋮ Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\mathbb F_q[T$] ⋮ Low-lying zeros in families of elliptic curve \(L\)-functions over function fields ⋮ On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields

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