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- Cho, Peter J.
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On the distribution of analytic ranks of elliptic curves
- Author(s)
- Cho, Peter J., Jeong, Keunyoung
- Issued Date
- 2023-11
- Citation
- MATHEMATISCHE ZEITSCHRI, v.305, no.3, pp.42
- Abstract
-
In this paper, under GRH for elliptic curve L-functions, we give an upper bound for the probability for an elliptic curve with analytic rank ≤a
for a≥11, and also provide an upper bound of n-th moments of analytic ranks of elliptic curves. These are applications of counting elliptic curves with local conditions.
- Publisher
- Springer Verlag
- ISSN
- 0025-5874
- Keyword (Author)
- Elliptic curve, Rank, Trace formula, GRH, BSD conjecture
- Keyword
- LOW-LYING ZEROS
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