Unit signature ranks in real biquadratic and multiquadratic number fields

DOI10.3836/tjm/1502179391MaRDI QIDQ6190604

David S. Dummit, Hershy Kisilevsky

Publication date: 6 February 2024

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

zbMATH Keywords

fundamental unitsunit signature rankbiquadratic and multiquadratic fields

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Totally real fields (11R80)

Cites Work

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• Signature ranks of units in cyclotomic extensions of abelian number fields
• Über die Lösbarkeit der Gleichung \(t^2-Du^2=-4\)
• The unit signature rank deficiency is unbounded over cyclotomic fields
• Classes of order 4 in the strict class group of number fields and remarks on unramified quadratic extensions of unit type
• Über Den Bizyklischen Biquadratischen Zahlkörper
• The Number of Real Quadratic Fields Having Units of Negative Norm
• A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS
• Integers of Biquadratic Fields

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