For more information about this meeting, contact Robert Vaughan.
|Title:||The Koblitz conjecture on average|
|Seminar:||Algebra and Number Theory Seminar|
|Speaker:||Alina Cojocaru, University of Illinois at Chicago|
|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
|Date:||03 / 19 / 2009|
|Time:||11:15am - 12:05pm|