A generalization of the Maillet determinant and the Demyanenko matrix

DOI10.1007/BF02941275zbMath1050.11092MaRDI QIDQ1429144

D. Massart

Publication date: 18 May 2004

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Maillet determinantDemyanenko matrixfirst factor of the cyclotomic fieldperiodic Bernoulli polynomial

Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20) Matrices, determinants in number theory (11C20)

Cites Work

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• On the Stickelberger ideal of (2,\dots, 2)-extensions of a cyclotomic number field
• On Maillet determinant
• The relative class numbers of certain imaginary abelian number fields and determinants
• Demjanenko matrix, class number, and Hodge group
• On the cosets of the \(2q\)-power group in the unit group modulo \(p\)
• Class number factors and distribution of residues
• Demjanenko matrix for imaginary abelian fields of odd conductors
• A Demjanenko matrix for abelian fields of prime power conductor
• On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields
• The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10
• A generalization of Maillet and Demyanenko determinants
• Fermat quotient of cyclotomic units
• On the l-divisibility of the relative class number of certain cyclic number fields
• A Generalization of Maillet's Determinant and a Bound for the First Factor of the Class Number
• Maillet’s determinant