Cyclotomic units and Stickelberger ideals of global function fields

DOI10.1090/S0002-9947-03-03245-8zbMath1049.11120MaRDI QIDQ4794604

Hwanyup Jung, Sunghan Bae, Jae-Hyun Ahn

Publication date: 19 February 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cyclotomic function fieldscyclotomic unitsStickelberger elementsStickelberger idealray class groupsIwasawa-Sinnott index formulaKummer-Sinnott unit index formula

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class field theory (11R37) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (4)

Determinant formulas for class numbers in function fields ⋮ Cyclotomic units in function fields ⋮ Class numbers of some abelian extensions of rational function fields ⋮ Demjanenko matrix and recursion formula for relative class number over function fields.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• On the Stickelberger ideal and the circular units of an abelian field
• Units and class groups in cyclotomic function fields
• On the Stickelberger ideal and the circular units of a cyclotomic field
• On the Galois structure of circular units in \(\mathbb{Z}_p\)-extensions
• Stickelberger ideals and divisor class numbers
• Stickelberger ideals and relative class numbers in function fields
• Circular Units of Function Fields
• On the torsion of the universal ordinary distribution related to a number field

This page was built for publication: Cyclotomic units and Stickelberger ideals of global function fields