Kummer and Herbrand criterion in the theory of function fields

DOI10.1215/S0012-7094-82-04923-7zbMath0473.12013MaRDI QIDQ1158466

David Goss

Publication date: 1982

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

class numberBernoulli numbersfunction fields over finite field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Iwasawa theory (11R23) Cyclotomy (11T22)

Related Items (13)

On power sums of polynomials over finite fields ⋮ On real quadratic function fields ⋮ Ordinary cyclotomic function fields ⋮ A Carlitz-von Staudt type theorem for finite rings ⋮ Unnamed Item ⋮ Zeta measure associated to \({\mathbb{F}}_ q[T\)] ⋮ Regulators and class numbers of an infinite family of quintic function fields ⋮ On the class numbers of the maximal real subfields of cyclotomic function fields ⋮ On the class numbers of the maximal real subfields of cyclotomic function fields. II ⋮ On the \(p\)-divisibility of class numbers of cyclotomic function fields ⋮ The arithmetic of function fields. II: The 'cyclotomic' theory ⋮ Kummer's theory for function fields ⋮ A note on irregular prime polynomials in cyclotomic function field theory

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