Stickelberger ideals and relative class numbers in function fields

DOI10.1006/jnth.1999.2472zbMath0999.11070OpenAlexW1997264485MaRDI QIDQ1970624

Linsheng Yin

Publication date: 1 December 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.1999.2472

zbMATH Keywords

indexcyclotomic function fieldrelative class numberStickelberger ideal

Mathematics Subject Classification ID

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

Related Items (6)

Cyclotomic units and Stickelberger ideals of global function fields ⋮ On the size of determinants in the class number formulae of cyclotomic function fields ⋮ 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

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• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Units and class groups in cyclotomic function fields
• On the Stickelberger ideal and the circular units of a cyclotomic field
• On the index of cyclotomic units in characteristic \(p\) and its applications
• Distributions on a global field
• A class number formula for cyclotomic fields

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