Congruences for odd class numbers of quadratic fields with odd discriminant

DOI10.1007/s11139-022-00673-2OpenAlexW4310276210MaRDI QIDQ2696313

Yoshinori Mizuno, Jigu Kim

Publication date: 11 April 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.04291

zbMATH Keywords

quadratic fieldsclass numbersHirzebruch sums

Mathematics Subject Classification ID

Continued fractions (11A55) Class numbers, class groups, discriminants (11R29) Dedekind eta function, Dedekind sums (11F20)

Cites Work

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• Historical remark on a theorem of Zhang and Yue
• On the computation of quadratic 2-class groups
• Hirzebruch sum and class number of the quadratic fields
• Hilbert modular surfaces
• Congruences relating class numbers of quadratic orders and Zagier's sums
• Fundamental units of real quadratic fields of odd class number
• Über einfache periodische Kettenbrüche und Vermutungen von P. Chowla und S. Chowla
• Quadratic Irrationals
• Genus character L‐functions of quadratic orders and class numbers
• Some congruences connecting quadratic class numbers with continued fractions
• Proof of a conjecture of Guy on class numbers

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