Event Detail

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

Speaker Info

University of Oregon

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.