4 problems

Let $\mathbb{F}_q(t)$ be the rational function field over the finite field $\mathbb{F}_q$, and consider cubic extensions $K/\mathbb{F}_q(t)$ counted by discriminant. Secondary-term…

Let $u\in S_d$, write $\nu=u^{1/3}$, and let $c=c(u)$ be the product of the distinct rational primes dividing $u$ but not $d$. Let $M_{3c}$ denote the ring class field associated w…

Let $d$ be as in the paper, let $\mathcal{O}(d)$ be the associated quadratic order, and let $P_d$ and $R_d$ be the subsets defined there. For $\beta\in\mathcal{O}(d)$, let…

Let $d$ be as in the paper, let $F=\mathbb{Q}(\sqrt{-3d})$, and let $M$ and $M_3$ denote the ring class fields of $F$ for the orders used in the paper, with $M_3$ corresponding to…