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Cho, Peter J.
Lab for L-functions and arithmetic
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On analytic ranks of elliptic curves with prescribed torsion

Author(s)
Jeong, KeunyoungCho, Peter J.
Issued Date
2022-10-11
URI
https://scholarworks.unist.ac.kr/handle/201301/75408
Fulltext
http://www.math.sci.ehime-u.ac.jp/~yamasaki/RIMS/ANT2022_en.html
Citation
RIMS Workshop 2022 Analytic Number Theory and Related Topics
Abstract
We show that the average analytic rank of elliptic curves with prescribed torsion $G$ is bounded for every torsion group $G$ under GRH for elliptic curve $L$-functions and in addition some moment conditions for

$G = \mathbb{Z}/n\mathbb{Z}$, $n = 7, 8,9,10,12$ and $\mathbb{Z}/2\mathbb{Z} \times \mathbb{Z}/2m\mathbb{Z}$, $m = 3, 4$.
Publisher
RIMS

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