December 2023 Unit Signature Ranks in Real Biquadratic and Multiquadratic Number Fields
David S. DUMMIT, Hershy KISILEVSKY
Tokyo J. Math. 46(2): 401-424 (December 2023). DOI: 10.3836/tjm/1502179391

Abstract

We determine all possible configurations for the unit signature rank for real biquadratic fields relative to the signature ranks of their quadratic subfields, providing infinite families for each possibility, and make some additional remarks for higher rank real multiquadratic fields.

Citation

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David S. DUMMIT. Hershy KISILEVSKY. "Unit Signature Ranks in Real Biquadratic and Multiquadratic Number Fields." Tokyo J. Math. 46 (2) 401 - 424, December 2023. https://doi.org/10.3836/tjm/1502179391

Information

Published: December 2023
First available in Project Euclid: 18 January 2024

Digital Object Identifier: 10.3836/tjm/1502179391

Subjects:
Primary: 11R27
Secondary: 11R16 , 11R29 , 11R80

Rights: Copyright © 2023 Publication Committee for the Tokyo Journal of Mathematics

Vol.46 • No. 2 • December 2023
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