SFU Number Theory and Algebraic Geometry Seminar: Nahid Walji
Topic
Distribution of traces of Frobenius and the Lang-Trotter conjecture on average for families of elliptic curves
Speakers
Details
In this talk I will discuss distribution results for traces of Frobenius for various families of elliptic curves with respect to the Lang--Trotter conjecture and extremal primes. These are related to the work of Sha--Shparlinski on the average Lang--Trotter conjecture for single-parametric families as well as the work of various authors on the distribution of traces of Frobenius for primes in congruence classes. This is joint work with my former student Nathan Fugleberg.