On the index of cyclotomic units in characteristic \(p\) and its applications

DOI10.1006/jnth.1997.2111zbMath0896.11023OpenAlexW2080711212MaRDI QIDQ1355090

Linsheng Yin

Publication date: 1 October 1998

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2111

zbMATH Keywords

class numbercyclotomic unitsBernoulli idealcyclotomic extension of a function fieldsgn-normalized rank 1 Drinfeld moduleunramified elliptic units

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Cyclotomic extensions (11R18) Elliptic and modular units (11G16)

Related Items (6)

Elliptic units and sign functions ⋮ Distributions on a global field ⋮ Stickelberger ideals and relative class numbers in function fields ⋮ Sign functions of imaginary quadratic fields and applications. ⋮ Euler systems in global function fields ⋮ Annihilators of the ideal class group of a cyclic extension of a global function field

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.
• Kummer's theory for function fields
• The Hilbert class field in function fields
• The \(\Gamma\)-ideal and special zeta-values
• Units and class groups in cyclotomic function fields
• Analytic class number formulas in function fields
• On the Stickelberger ideal and the circular units of a cyclotomic field
• Class number formulas over global function fields
• Kummer's criterion over global function fields

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