Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, February 3, 2015 - 16:00 to 17:00
Location: 
Kidder 350

Speaker Info

Institution: 
University of Oregon
Abstract: 

We prove inequalities that compare the regulator of an algebraic number field with a product of heights of a basis for the group of units in the number field. Because the minimum value of the regulator is known, we get a form of the Lehmer conjecture on average. The proof makes use of an interesting upper bound for a determinant proved by A. Schinzel.