English

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

Number Theory 2020-11-12 v2

Abstract

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

Keywords

Cite

@article{arxiv.2011.03887,
  title  = {Counting Ideals in $\mathbb{Z}[t]/(f)$},
  author = {Sarthak Chimni},
  journal= {arXiv preprint arXiv:2011.03887},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T19:59:15.385Z