Counting Ideals in $\mathbb{Z}[t]/(f)$

Abstract

In this paper we study the growth of ideals in $\mathbb{Z}[t]/(f)$ for a monic cubic polynomial $f$. We also compute the ideal zeta function of $\mathbb{Z}[t]/(t^n)$ for any $n\in \mathbb{N}$.

9 Pages Added reference and noted that one of the results is previously known

References in corpus (1)

• Counting ideals in polynomial rings