Counting subrings of \(\mathbb {Z}^n\) of index \(k\)

DOI10.1016/j.jcta.2006.05.002zbMath1117.11006OpenAlexW1986430661MaRDI QIDQ868882

Ricky Ini Liu

Publication date: 26 February 2007

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.05.002

zbMATH Keywords

latticesmultiplicative latticessubrings

Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items

Counting subrings of the ring $\Bbb{Z}_m \times \Bbb{Z}_n$, Functional equations for zeta functions of groups and rings, Is the number of subrings of index p ^e in ℤ ⁿ polynomial in p  ?, Unnamed Item, Lower bounds for the number of subrings in \(\mathbb{Z}^n\), Counting finite index subrings of $\mathbb Z^n$, Distribution of orders in number fields

Cites Work

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• The density of discriminants of quartic rings and fields
• The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
• Density of discriminants of cubic extensions.
• Orders of a quartic field
• On the density of discriminants of cubic fields. II