Adam Felix

We will discuss a paper of Chen and Kuan, in which they study the distribution of torsion points modulo primes over several different commutative algebraic groups. They demonstrate that the average is related to some generalized divisor function for...

Let $a \in \mathbb{Z} \setminus \{0,\pm 1\}$, and let $f_{a}(p)$ denote the order of $a$ modulo $p$, where $p \nmid a$ is prime. There are many results that suggest $p - 1$ and $f_{a}(p)$ are close. For example, Artin's conjecture and Hooley's...