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math.NT2016★ 7 cited
Extreme residues of Dedekind zeta functions
Peter J. Cho, Henry H. Kim
In a family of -fields (), we obtain the true upper and lower bound of the residues of Dedekind zeta functions except for a density zero set. For -fields, we…
math.NT2016
The average of the smallest prime in a conjugacy class
Peter J. Cho, Henry H. Kim
Let be a conjugacy class of and an -field. Let be the smallest prime which is ramified or whose Frobenius automorphism Frob does not belong to .…