Counting finite index subrings of $\mathbb Z^n$

DOI10.4064/aa180201-29-7zbMath1505.11127arXiv1609.06433OpenAlexW3118565120MaRDI QIDQ5854711

Julia Menzel, Stanislav Atanasov, Benjamin Krakoff, Nathan Kaplan

Publication date: 17 March 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06433

zbMATH Keywords

latticesmultiplicative latticessubringszeta functions of groups and rings

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Lattices and convex bodies (number-theoretic aspects) (11H06) Other Dirichlet series and zeta functions (11M41)

Related Items (3)

Counting subrings of the ring $\Bbb{Z}_m \times \Bbb{Z}_n$ ⋮ Is the number of subrings of index p ^e in ℤ ⁿ polynomial in p  ? ⋮ Lower bounds for the number of subrings in \(\mathbb{Z}^n\)

Uses Software

• Magma
• SageMath

Cites Work

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