• 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. 
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References

SHOWING 1-10 OF 11 REFERENCES

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…

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…

STIRLING NUMBERS OF THE SECOND KIND

In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function. We investigate their some properties and…

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

University of Illinois at Chicago

    Counting subrings of Z n of index k

    • J . Combin . Theory Ser . A
    • 2007