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• W1841812892 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." @default.
• W1841812892 created "2016-06-24" @default.
• W1841812892 creator A5044349701 @default.
• W1841812892 date "2001-09-01" @default.
• W1841812892 modified "2023-09-28" @default.
• W1841812892 title "Formulae for the relative class number of an imaginary abelian field in the form of a determinant" @default.
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• W1841812892 doi "https://doi.org/10.1017/s0027763000007959" @default.
• W1841812892 hasPublicationYear "2001" @default.
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