For more information about this meeting, contact Robert Vaughan.
| Title: | The Koblitz conjecture on average |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | Alina Cojocaru, University of Illinois at Chicago |
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| Abstract: |
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| Let E be an elliptic curve defined over Q. In 1988, Koblitz formulated a conjecture about the number of primes p < x for which the reduction of E modulo p has prime order. This conjecture may be viewed as a higher dimensional analogue of the classical twin prime conjecture. I will show that the Koblitz conjecture is true when considered for a family of elliptic curves. This is joint work with Antal Balog (Renyi Institute, Budapest) and Chantal David (Concordia University, Montreal). |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 03 / 19 / 2009 |
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| Time: | 11:15am - 12:05pm |
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