KMS Of Academy of mathematics and systems sciences, CAS
| CM fields of Dihedral type and the Colmez conjecture | |
| Yang, Tonghai1; Yin, Hongbo2 | |
| 2018-05-01 | |
| Source Publication | MANUSCRIPTA MATHEMATICA
 |
| ISSN | 0025-2611 |
| Volume | 156Issue:1-2Pages:1-22 |
| Abstract | In this paper, we consider some CM fields which we call of dihedral type and compute the Artin L-functions associated to all CM types of these CM fields. As a consequence of this calculation, we see that the Colmez conjecture in this case is very closely related to understanding the log derivatives of certain Hecke characters of real quadratic fields. Recall that the 'abelian case' of the Colmez conjecture, proved by Colmez himself, amounts to understanding the log derivatives of Hecke characters of (cyclotomic characters). In this paper, we also prove that the Colmez conjecture holds for 'unitary CM types of signature ' and holds on average for 'unitary CM types of a fixed CM number field of signature '. |
| DOI | 10.1007/s00229-017-0966-z |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000429343400001 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30080 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Univ Wisconsin Madison, Dept Math, Van Vleck Hall, Madison, WI 53706 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Yang, Tonghai,Yin, Hongbo. CM fields of Dihedral type and the Colmez conjecture[J]. MANUSCRIPTA MATHEMATICA,2018,156(1-2):1-22. |
| APA | Yang, Tonghai,&Yin, Hongbo.(2018).CM fields of Dihedral type and the Colmez conjecture.MANUSCRIPTA MATHEMATICA,156(1-2),1-22. |
| MLA | Yang, Tonghai,et al."CM fields of Dihedral type and the Colmez conjecture".MANUSCRIPTA MATHEMATICA 156.1-2(2018):1-22. |
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