• Corpus ID: 119331749

Counting subrings of $\mathbb Z^n$ of non-zero co-rank

@article{Chimni2018CountingSO,
  title={Counting subrings of \$\mathbb Z^n\$ of non-zero co-rank},
  author={Sarthak Chimni and Ramin Takloo-Bighash},
  journal={arXiv: Number Theory},
  year={2018}
}
In this paper we study subrings of Z of co-rank k. 
View PDF on arXiv

References

SHOWING 1-9 OF 9 REFERENCES
Subgroups of finite index in nilpotent groups
Counting problems for number rings
In this thesis we look at three counting problems connected to orders in number fields. First we study the probability that for a random polynomial f in Z[X] the ring Z[X]/f is the maximal order in…
The adelic zeta function associated to the space of binary cubic forms. II: Local theory.
This series of papers aspires to fully develop the connections between the arithmetic of cubic and quadratic extensions of global fields and the properties of a zeta function associated to the…
The adelic zeta function associated to the space of binary cubic forms
Orders of a quartic field
Counting subrings of Z of index
  • k. J. Combin. Theory Ser. A
  • 2007
Distribution of orders in number fields
AbstractIn this paper, we study the distribution of orders of bounded discriminants in number fields. We use the zeta functions introduced by Grunewald, Segal, and Smith. In order to carry out our…
Counting subrings of Z n of index k
  • J . Combin . Theory Ser . A
  • 2007
Introductory combinatorics. Third edition
  • 2000