Class numbers of cyclotomic function fields

DOI10.4064/aa102-3-4zbMath0989.11064OpenAlexW2051288461MaRDI QIDQ2781463

Sunghan Bae, Pyung-Lyun Kang

Publication date: 20 March 2002

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa102-3-4

zbMATH Keywords

cyclotomic function fieldsclass numbersCarlitz modulesCarlitz-Hayes cyclotomic function field

Mathematics Subject Classification ID

Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (9)

A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS ⋮ Calculating formula and divisibility for relative class numbers of abelian function fields ⋮ Divisor class number one problem for Abelian extensions over rational function fields ⋮ On the subfields of cyclotomic function fields ⋮ Determinant formulas for class numbers in function fields ⋮ Class number formulae in the form of a product of determinants in function fields ⋮ Class numbers of some abelian extensions of rational function fields ⋮ The relative class number one problem for function fields. I ⋮ Demjanenko matrix and recursion formula for relative class number over function fields.

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