Lethbridge Number Theory and Combinatorics Seminar: Peng-Jie Wong

Let E be a CM elliptic curve defined over the rational numbers. In light of the Lang-Trotter conjecture, there is a question asking for an asymptotic formula for the number of primes p x for which the reduction modulo p of E is cyclic. This has been studied by Akbary, Cojocaru, Gupta, M.R.Murty, V.K.Murty, and Serre. In this talk, we will discuss their work and some variants of the question.