Kelly Isham

activity

20202026

most citedPolarFly: A Cost-Effective and Flexible Low-Diameter Topology

21 citations · 37 across the 13 of their papers we have counts for

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math.NT2024

Most subrings of $Z^{n}$ have large corank

Gautam Chinta, Kelly Isham, Nathan Kaplan

If $Λ \subseteq Z^{n}$ is a sublattice of index $m$ , then $Z^{n} /Λ$ is a finite abelian group of order $m$ and rank at most $n$ . Several authors have studied statistic…

math.NT2022

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?

Kelly Isham

It is well-known that for each fixed $n$ and $e$ , the number of subgroups of index $p^{e}$ in $Z^{n}$ is a polynomial in $p$ . Is this true for \emph{subrings} in $\mathbb{Z}^n…

math.NT2020

Lower bounds for the number of subrings in $Z^{n}$

Kelly Isham

Let $f_{n} (k)$ be the number of subrings of index $k$ in $Z^{n}$ . We show that results of Brakenhoff imply a lower bound for the asymptotic growth of subrings in $\mathbb{Z}^n…

Most subrings of Zn have large corank

Is the number of subrings of index pe in Zn polynomial in p?

Lower bounds for the number of subrings in Zn

Most subrings of $Z^{n}$ have large corank

Is the number of subrings of index $p^{e}$ in $Z^{n}$ polynomial in $p$ ?

Lower bounds for the number of subrings in $Z^{n}$