Feza Gürsey Fizik ve Matematik UAM Seminerleri
Monogenic cubic rings and Thue equations
Shabnam Akhatri
University of Oregon, Amerika Birleşik Devletleri
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.
NOT:
MEETING ID: 908 611 6889 , PASSCODE: 362880, (17:30 Tehran time). This talk is a part of the Number Theory Meeting is jointly organized by FGC and IPM.
