On the size of determinants in the class number formulae of cyclotomic function fields

DOI10.14495/jsiaml.12.17zbMath1441.11288OpenAlexW3014823684MaRDI QIDQ5121393

Iwao Kimura, Daiki Aoyama

Publication date: 14 September 2020

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.12.17

zbMATH Keywords

class numbercyclotomic function fielddeterminant formula

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)

Uses Software

• PARI/GP

Cites Work

• Unnamed Item
• Demjanenko matrix, class number, and Hodge group
• Demjanenko matrix and recursion formula for relative class number over function fields.
• Stickelberger ideals and relative class numbers in function fields
• A note on the relative class number in function fields
• On the relative class number of cyclotomic function fields

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