DETERMINANT EXPRESSION FOR THE CLASS NUMBER OF AN ABELIAN NUMBER FIELD

DOI10.2206/kyushujm.77.237OpenAlexW4387656453MaRDI QIDQ6146979

Quan Yang, Nian Liang Wang, Shigeru Kanemitsu

Publication date: 31 January 2024

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.77.237

zbMATH Keywords

Dirichlet series with periodic coefficientsclass number of quadratic fieldsMaillet-Demyanenko determinant

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Class numbers, class groups, discriminants (11R29) Class numbers of quadratic and Hermitian forms (11E41) Other abelian and metabelian extensions (11R20)

Cites Work

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• Dirichlet series with periodic coefficients
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• On a problem of Chowla
• On a generalization of the Maillet determinant II
• Contributions to the Theory of Zeta-Functions
• On the analogue of the formula of Chowla and Selberg for real quadratic fields.
• On characterization of Dirichlet L-functions
• Number Theory and Its Applications
• On the units of cyclotomic fields

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