On the moments of torsion points modulo primes and their applications

Amir Akbary, Peng-Jie Wong

Let $\mathbb{A}[n]$ be the group of $n$-torsion points of a commutative algebraic group $\mathbb{A}$ defined over a number field $F$. For a prime ideal $\mathfrak{p}$, we let $N_{\…