Detailed Information on Publication Record
2001
Formulae for the relative class number of an imaginary abelian field in the form of a determinant
KUČERA, RadanBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Japan
Confidentiality degree
není předmětem státního či obchodního tajemství
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
Změněno: 27/6/2007 09:45, prof. RNDr. Radan Kučera, DSc.
Abstract
V originále
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) |
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