Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers
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SCOPUS
- Title
- Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers
- Authors
- Cheon, SJ; Kim, HK; Lee, JH
- Date Issued
- 2007-12
- Publisher
- SPRINGER
- Abstract
- Let {K-m}m >= 4 be the family of non-normal totally real cubic number fields defined by the irreducible cubic polynomial f(m)(x) = x(3) - mx(2) - (m + 1)x - 1, where m is an integer with m >= 4. In this paper, we will apply Siegel's formula for the values of the zeta function of a totally real algebraic number field at negative odd integers to K-m, and compute the values of the Dedekind zeta function of K-m.
- Keywords
- NUMBER-FIELDS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/23064
- DOI
- 10.1007/s00229-007-0135-x
- ISSN
- 0025-2611
- Article Type
- Article
- Citation
- MANUSCRIPTA MATHEMATICA, vol. 124, no. 4, page. 551 - 560, 2007-12
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- There are no files associated with this item.
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