|15- and 290- Theorems|
Abstract: These are theorems about universal quadratic forms. They answer the following question: if a quadratic form represents 1,2,3,..., n, how large does n have to be so that we know it represents all positive integers. Schneeberger and I proved about ten years ago that the answer is 15 for positive definite forms with integral matrices. Very recently, Bhargava and Hanke proved that the answer is 290 for forms with integer values.
|Web page: Alexandru I. Suciu||Comments to: firstname.lastname@example.org|
|Posted: October 6, 2005||URL: http://www.math.neu.edu/bhmn/conway05.html|