Average value of the divisor class numbers of real cubic function fields

DOI10.1515/MATH-2023-0160MaRDI QIDQ6611510

Jinjoo Yoo, Yoonjin Lee, Jungyun Lee

Publication date: 26 September 2024

Published in: Open Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionaverage value of class numbercubic function fieldmoment over function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) (zeta (s)) and (L(s, chi)) (11M06) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

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• On Hecke L-series associated with cubic characters
• Non-vanishing of $L$-functions for cyclotomic characters in function fields
• NOTE ON AVERAGE OF CLASS NUMBERS OF CUBIC FUNCTION FIELDS

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