On regularity of small primes in function fields

DOI10.1016/0022-314X(90)90056-WzbMath0695.12008OpenAlexW2064323590MaRDI QIDQ909711

Ernst-Ulrich Gekeler

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-314x(90)90056-w

zbMATH Keywords

elliptic curvesBernoulli-Carlitz numberscyclotomic function fieldTeichmüller characterclass groupanalogs of Bernoulli numbersKummer morphismp-class numbersregulator groupRibet's theorem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58)

Related Items (9)

A Herbrand-Ribet theorem for function fields ⋮ Zeta measure associated to \({\mathbb{F}}_ q[T\)] ⋮ On the orthogonal of cyclotomic units in positive characteristic ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Continued fraction for the exponential for \(\mathbb{F}_ q[T\)] ⋮ On Gekeler's conjecture for 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 ⋮ Appell-Carlitz numbers

Cites Work

• Unnamed Item
• Kummer's theory for function fields
• Some new identities for Bernoulli-Carlitz numbers
• Bernoulli-Goss polynomial and class number of cyclotomic function fields
• The arithmetic of function fields. II: The 'cyclotomic' theory
• On power sums of polynomials over finite fields
• The class number of cyclotomic function fields
• Von Staudt for \(\mathbb F_q[T\)]
• A Note on Bernoulli-Goss Polynomials
• Explicit Class Field Theory for Rational Function Fields

This page was built for publication: On regularity of small primes in function fields