| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8896835 | Journal of Number Theory | 2018 | 19 Pages |
Abstract
We show that the distribution of elliptic curves in isogeny classes of curves with a given value of the Frobenius trace t becomes close to uniform even when t is averaged over very short intervals inside the Hasse-Weil interval. This result is based on a new form of the large sieve inequality for sparse sequences.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Igor E. Shparlinski, Liangyi Zhao,