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Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields
2011
Mathematics of Computation
Preserved Fulltext
Let K be an algebraic number field. Assume that ζ K (s)/ζ(s) is entire. We give an explicit upper bound for the residue at s = 1 of the Dedekind zeta function ζ K (s) of K. We deduce explicit upper bounds on class numbers of cubic and quartic number fields.
doi:10.1090/s0025-5718-2011-02457-9
fatcat:sfrwezmzl5dz7dbor2lmn5hli4