Statistics for $p$-ranks of Artin–Schreier covers
Anwesh Ray · Acta Arithmetica · 2022
Given a prime $p$ and $q$ a power of $p$, we study the statistics of $p$-ranks of Artin–Schreier covers of given genus defined over $\mathbb F_q$, in the large $q$-limit. We refer to this problem as the geometric problem. We also study an ari