scientific article

zbMath0956.11009MaRDI QIDQ2702762

Takashi Agoh

Publication date: 13 March 2001

Full work available at URL: https://eudml.org/doc/31905

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

cyclotomic fieldBernoulli numberclass number formulaStickelberger idealMirimanoff polynomialKummer system of congruences

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Class numbers, class groups, discriminants (11R29) Higher degree equations; Fermat's equation (11D41) Cyclotomic extensions (11R18) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items (1)

Stickelberger subideals for a prime modulus related to Kummer-type congruences

Cites Work

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• Demjanenko matrix, class number, and Hodge group
• On the Stickelberger ideal and the circular units of an abelian field
• On a special ideal contained in the Stickelberger ideal
• A class number formula for cyclotomic fields
• Some variations and consequences of the Kummer-Mirimanoff congruences
• On the Kummer-Mirimanoff congruences
• Kummer type congruences and Stickelberger subideals

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