15- and 290- Theorems


John Conway

Princeton University

Harvard University

Thursday, October 20, 2005


Talk at 4:30 p.m. in Science Center D

Tea at 4:00 p.m. in the Math Lounge


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.


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Posted: October 6, 2005    URL: