Peter Cho, Department of Pure Mathematics, University of Waterloo
“Extreme residues of Dedekind zeta functions”
In a family of Sd+1-fields (d = 2,3,4), we obtain the true upper and lower bound of the residues of Dedekind zeta functions except for a density zero set. For S5-fields, we need to assume the strong Artin conjecture. We also show that there exists an infinite family of number fields with the upper and lower bound, resp. This is a joint work with Henry Kim.