Student Number Theory Seminar

Xingchi Ruan, Department of Pure Mathematics, University of Waterloo

"Singular Series in the Hilbert-Kamke Problem"

The Hilbert-Kamke problem is a well-known problem in number theory. It looks for the solubility of a certain type of system of equations. We talk about how the singular series will provide solubility to the Hilbert-Kamke problem, and we will find a lower bound of the number of variables to ensure the sum of the singular series is positive.