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Extreme residues of Dedekind zeta functions
Published online by Cambridge University Press: 15 February 2017
Abstract
In a family of Sd+1-fields (d = 2, 3, 4), we obtain the conjectured upper and lower bounds 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 bounds, resp.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 163 , Issue 2 , September 2017 , pp. 369 - 380
- Copyright
- Copyright © Cambridge Philosophical Society 2017
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