An Infinite Family of Pairs of Distinct Quartic Galois CM-fields with the Same Discriminant and Regulator

Tokyo Journal of Mathematics 2026 Open access

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Authors: Yoshichika Iizuka, Yutaka Konomi
DOI: 10.3836/tjm/1502179456
Cited by: 0

Abstract

We construct an infinite family of pairs of distinct imaginary biquadratic fields and pairs of distinct imaginary cyclic quartic fields with the same discriminant and regulator. We also construct an infinite family of imaginary biquadratic fields and imaginary cyclic quartic fields with the same regulator. Moreover, we give examples of a pair of distinct imaginary biquadratic fields and a pair of distinct imaginary cyclic quartic fields with the same discriminant, regulator and class number.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Mathematical Dynamics and Fractals Analytic and geometric function theory

Publication details

Journal / source
Tokyo Journal of Mathematics
Volume
49
Issue
1
Pages
225–237
Publication date
1 June 2026
Language
EN