On Maillet determinant

DOI10.1016/0022-314X(84)90064-7zbMath0535.12004MaRDI QIDQ790881

Kai Wang

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

character sumsMaillet determinantrelative class number of the m-th cyclotomic field

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Matrices, determinants in number theory (11C20) Jacobsthal and Brewer sums; other complete character sums (11L10)

Related Items (7)

The relative class number of certain imaginary abelian number fields of odd conductors ⋮ Determinants of trigonometric functions and class numbers ⋮ The structural elucidation of Eisenstein's formula ⋮ Demjanenko matrix, class number, and Hodge group ⋮ A generalization of the Maillet determinant and the Demyanenko matrix ⋮ Formulae for the relative class number of an imaginary abelian field in the form of a determinant ⋮ A Generalization of Jakubec's Formula

Cites Work

• Unnamed Item
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• Maillet’s determinant
• On a theorem of S. Chowla
• Number fields

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