The average analytic rank of elliptic curves
All the results in this paper are conditional on the Riemann hypothesis for the L-functions of elliptic curves. Under this assumption, we show that the average analytic rank of all elliptic curves over ℚ is at most 2, thereby improving a result of Brumer. We also show that the average within any fam...
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
2004
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