The average analytic rank of elliptic curves with prescribed torsion
Author:
Affiliation:
1. Department of Mathematical Sciences Ulsan National Institute of Science and Technology Ulsan Korea
2. Department of Mathematics Education Chonnam National University Gwangju Korea
Funder
National Research Foundation of Korea
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12693
Reference23 articles.
1. M.BhargavaandW.Ho On average sizes of Selmer groups and ranks in families of elliptic curves having marked points Preprint.
2. Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
3. M.BhargavaandA.Shankar The average size of the 5‐Selmer group of elliptic curves is 6 and the average rank is less than 1 Preprint https://arxiv.org/abs/1312.7859.
4. The average rank of elliptic curves I
5. S.Chan J.Hanselman andW.Li Ranks 2‐Selmer groups and tamagawa numbers of elliptic curves withZ/2Z×Z/8Z$\mathbb {Z}/2\mathbb {Z}\times \mathbb {Z}/8\mathbb {Z}$‐torsion Proceedings of the 13th Algorithmic Number Theory Symposium Open Book Ser.2 Math. Sci. Publ. Berkeley CA 2019 pp.173–189.
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