Number Theory Seminar
Ramin Takloo-Bighash
University of Illinois at Chicago
Counting subrings of Z^n
Abstract: In this talk I will explain a method, based on p-adic integration, to count the number of subrings of ${\mathbb Z}^n$ of bounded additive index.
The method yields exact asymptotic formulae for small $n$, and gives non-trivial bounds for all $n$. At the end I will explain how this method could be
applied to the problem of counting orders in quintic fields. This is joint work with Nathan Kaplan.
Monday September 19, 2011 at 3:00 PM in SEO 612