CSpace
CM fields of Dihedral type and the Colmez conjecture
Yang, Tonghai1; Yin, Hongbo2
2018-05-01
Source PublicationMANUSCRIPTA MATHEMATICA
ISSN0025-2611
Volume156Issue:1-2Pages:1-22
AbstractIn 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 '.
DOI10.1007/s00229-017-0966-z
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000429343400001
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30080
Collection中国科学院数学与系统科学研究院
Affiliation1.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.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yang, Tonghai]'s Articles
[Yin, Hongbo]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yang, Tonghai]'s Articles
[Yin, Hongbo]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yang, Tonghai]'s Articles
[Yin, Hongbo]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.