3.30 p.m., Seminar Hall
Dr. P. Sheel Memorial Medal Lecture of the National Academy of Sciences, Allahabad
Elliptic curves and Poisson distribution
Institute of Mathematical Sciences, Chennai., Chennai.
Let $ E$ be an elliptic curve defined over rational field $Q$ and $N$ be a positive integer. Now $M_E(N)$ denotes the number of primes $p$, such that the group $E_p(F_p)$ is of order $N$. We show that $M_E(N)$ follows Poisson distribution when an average is taken over a large class of curves.