Congruence formulae modulo powers of 2 for class numbers of cyclic quartic fields

DOI10.1007/S11425-009-0021-YzbMath1229.11138OpenAlexW2045074466MaRDI QIDQ1042930

Xianke Zhang, Lianrong Ma, Wei Li

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0021-y

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions (11S40)

Cites Work

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• Congruences modulo 8 for class numbers of general quadratic fields \(\mathbb{Q}(\sqrt{m})\) and \(\mathbb{Q}(\sqrt{-m})\)
• Ten formulae of type Ankeny-Artin-Chowla for class numbers of general cyclic quartic fields
• Congruences for the class number of quadratic fields
• On a class number relation of imaginary Abelian fields
• Congruences for the class numbers of real cyclic sextic number fields
• The class-number of real quadratic number fields
• KUMMER'S CONGRUENCE FOR GENERALIZED BERNOULLI NUMBERS AND ITS APPLICATION
• On the class number and unit index of simplest quartic fields

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