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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@article{374635, author = {Kučera, Radan}, article_location = {Japonsko}, article_number = {1}, keywords = {Relative class number; imaginary abelian field}, language = {eng}, issn = {0027-7630}, journal = {Nagoya Mathematical Journal}, title = {Formulae for the relative class number of an imaginary abelian field in the form of a determinant}, volume = {163}, year = {2001} }
TY - JOUR ID - 374635 AU - Kučera, Radan PY - 2001 TI - Formulae for the relative class number of an imaginary abelian field in the form of a determinant JF - Nagoya Mathematical Journal VL - 163 IS - 1 SP - 167 EP - 167 PB - Graduate School of Math., Nagoya Univ. SN - 00277630 KW - Relative class number KW - imaginary abelian field N2 - 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. ER -
KUČERA, Radan. Formulae for the relative class number of an imaginary abelian field in the form of a determinant. \textit{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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