__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

Proudly Serving Math Community at the Claremont Colleges Since 2007

Copyright © 2011 Claremont Center for the Mathematical Sciences

03/09/2010 - 12:15pm

03/09/2010 - 1:10pm

Speaker:

Wai Kiu Chan (Wesleyan University)

Abstract:

In 1796 Gauss wrote in his mathematical diary the theorem that every natural number is the sum of three triangular numbers. In today's terminology, we say that the sum of three triangular numbers is universal. Later Liouville proved a generalization of Gauss' theorem which determines all ternary sums of triangular numbers that are universal. In this talk, I will describe the recent result by W. Bosma and B. Kane which provides a simple characterization of universal sums of triangular numbers and my joint work with B.K. Oh on almost universal sums of triangular numbers.

Where:

Millikan 208 (Pomona College)