KUČERA, Radan. Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Nagoya Mathematical Journal. Japonsko: Graduate School of Math., Nagoya Univ., 2001, vol. 163, No 1, p. 167-191. ISSN 0027-7630.
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Basic information
Original name Formulae for the relative class number of an imaginary abelian field in the form of a determinant
Authors KUČERA, Radan (203 Czech Republic, guarantor).
Edition Nagoya Mathematical Journal, Japonsko, Graduate School of Math., Nagoya Univ. 2001, 0027-7630.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Japan
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.427
RIV identification code RIV/00216224:14310/01:00004598
Organization unit Faculty of Science
UT WoS 000171473700008
Keywords in English Relative class number; imaginary abelian field
Tags imaginary abelian field, Relative class number
Changed by Changed by: prof. RNDr. Radan Kučera, DSc., učo 59. Changed: 27/6/2007 09:45.
Abstract
There is in the literature a lot of determinant formulae involving the relative class number of an imaginary abelian field. Usually such a formula contains a factor which is equal to zero for many fields and so it gives no information about the class number of these fields. The aim of this paper is to show a way of obtaining most of these formulae in a unique fashion, namely by means of the Stickelberger ideal. Moreover some new and non-vanishing formulae are derived by a modification of Ramachandra's construction of independent cyclotomic units.
Links
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
PrintDisplayed: 28/6/2024 15:16