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- Cho, Peter J.
- Lab for L-functions and arithmetic
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Extreme residues of Dedekind zeta functions
- Author(s)
- Cho, Peter J., KIM, Henry H.
- Issued Date
- 2017-09
- Citation
- MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v.163, no.2, pp.369 - 380
- Abstract
- In a family of S d+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 S 5-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.
- Publisher
- CAMBRIDGE UNIV PRESS
- ISSN
- 0305-0041
- Keyword
- NUMBER-FIELDS
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