On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field

DOI10.1016/0022-314X(92)90003-8zbMath0744.11052MaRDI QIDQ1183271

Radan Kučera

Publication date: 28 June 1992

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

zbMATH Keywords

cyclotomic fieldStickelberger idealfirst factorSinnott's class number formula

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (14)

A note on Sinnott's definition of circular units of an abelian field ⋮ The circular units and the Stickelberger ideal of a cyclotomic field revisited ⋮ On the existence of Minkowski units in totally real cyclic fields ⋮ Unnamed Item ⋮ Log-\(\mathcal{S}\)-unit lattices using explicit Stickelberger generators to solve approx ideal-SVP ⋮ A short basis of the Stickelberger ideal of a cyclotomic field ⋮ The special case of cyclotomic fields in quantum algorithms for unit groups ⋮ On bases of Washington's group of circular units of some real cyclic number fields ⋮ Circular units in a bicyclic field. ⋮ Construction of bases for the group of cyclotomic units ⋮ On bases of odd and even universal ordinary distributions ⋮ A remark on the Breuer's conjecture related to the Maillet's matrix ⋮ Unnamed Item ⋮ On a modification of the group of circular units of a real abelian field

Cites Work

• On the Stickelberger ideal and the circular units of an abelian field
• On bases of odd and even universal ordinary distributions
• On the Stickelberger ideal and the circular units of a cyclotomic field
• Another proof of Iwasawa's class number formula
• The universal ordinary distribution
• On the units of cyclotomic fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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