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- Cho, Peter J.
- Lab for L-functions and arithmetic
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Analytic ranks of elliptic curves over number fields
- Author(s)
- Cho, Peter J.
- Issued Date
- 2023-04
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.151, no.4, pp.1403 - 1414
- Abstract
- Let E be an elliptic curve over Q. Then, we show that the average analytic rank of E over cyclic extensions of degree l over Q with l a prime not equal to 2, is at most 2+rQ(E), where rQ(E) is the analytic rank of the elliptic curve E over Q. This bound is independent of the degree l Also, we also obtain some average analytic rank results over Sd-fields.
- Publisher
- American Mathematical Society
- ISSN
- 0002-9939
- Keyword (Author)
- Elliptic curve, analytic rank, cyclic extension
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