Is the number of subrings of index p e in ℤ n polynomial in p ?

DOI10.1080/00927872.2023.2225600arXiv2203.00646OpenAlexW4382240557MaRDI QIDQ6060318

Kelly Isham

Publication date: 3 November 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.00646

zbMATH Keywords

latticessubringszeta functions of rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other Dirichlet series and zeta functions (11M41)

Cites Work

• Graham Higman's PORC conjecture.
• Counting subrings of \(\mathbb {Z}^n\) of index \(k\)
• Subgroups of finite index in nilpotent groups
• Counting points on varieties over finite fields related to a conjecture of Kontsevich
• The Magma algebra system. I: The user language
• Subgroup growth.
• Lower bounds for the number of subrings in \(\mathbb{Z}^n\)
• Distribution of orders in number fields
• Zeta functions of groups and rings
• Murphy's law in algebraic geometry: Badly-behaved deformation spaces
• Density of discriminants of cubic extensions.
• Orders of a quartic field
• Counting finite index subrings of $\mathbb Z^n$
• Unnamed Item

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