CLASS NUMBER FORMULAS FOR CERTAIN BICYCLIC BIQUADRATIC NUMBER FIELDS AS FINITE SUMS INVOLVING JACOBI ELLIPTIC FUNCTIONS

DOI10.1142/S179304211250073XzbMath1292.11124OpenAlexW1973451850MaRDI QIDQ2909033

Joan-Carles Lario, Mariángeles A. Gómez-Molleda

Publication date: 29 August 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304211250073x

zbMATH Keywords

Jacobi elliptic functionclass number formulaclass field theorybicyclic biquadratic number field

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

• Hasse's class number product formula for generalized Dirichlet fields and other types of number fields
• Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers
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