Average analytic rank of elliptic curves with prescribed torsion

Average analytic rank of elliptic curves with prescribed torsion

We show that average analytic rank of elliptic curves with prescribed torsion $G$ is bounded for every torsion group $G$ under GRH for elliptic curve $L$-functions.

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Bibliographische Detailangaben
Hauptverfasser: Cho, Peter J, Jeong, Keunyoung
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Number Theory
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Zusammenfassung:We show that average analytic rank of elliptic curves with prescribed torsion $G$ is bounded for every torsion group $G$ under GRH for elliptic curve $L$-functions.
DOI:10.48550/arxiv.2005.06862