|Wednesday 8 December 2021|
|Events for day: Tuesday 09 November 2021|
| 17:30 - 19:30 Number Theory Webinar|
Monogenic Cubic Rings and Thue Equations
Let K be a cubic number field. We give an absolute upper bound for the number of monogenic orders which have small index (compared to the discriminant of K) in the ring of integers of K. This is done by counting the number of integral solutions of some cubic Thue equations. This reduction to the resolution of Thue equations will also allow us to count the number of monogenic orders with a fixed index in the ring of integers of K.
Meeting ID: 908 611 6889