Formulae for the relative class number of an imaginary abelian field in the form of a determinant

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F01%3A00004598" target="_blank" >RIV/00216224:14310/01:00004598 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Formulae for the relative class number of an imaginary abelian field in the form of a determinant

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2001

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nagoya Mathematical Journal

ISSN

0027-7630

e-ISSN

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Volume of the periodical

163

Issue of the periodical within the volume

1

Country of publishing house

JP - JAPAN

Number of pages

25

Pages from-to

167

UT code for WoS article

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EID of the result in the Scopus database

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