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- Cho, Peter J.
- Lab for L-functions and arithmetic
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The average analytic rank of elliptic curves with prescribed torsion
- Author(s)
- Cho, Peter J., Jeong, Keunyoung
- Issued Date
- 2023-02
- Citation
- JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.107, no.2, pp.616 - 657
- Abstract
- We show that the average analytic rank of elliptic curves with prescribed torsion (Formula presented.) is bounded for every torsion group (Formula presented.) under Generalized Riemann Hypothesis (GRH) for elliptic curve (Formula presented.) -functions and, in addition, some moment conditions for (Formula presented.), (Formula presented.), and (Formula presented.), (Formula presented.).
- Publisher
- Oxford University Press
- ISSN
- 0024-6107
- Keyword
- ZEROS
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