Certain quartic fields with small regulators

DOI10.1006/jnth.1996.0031zbMath0847.11057OpenAlexW2041669931MaRDI QIDQ1912299

Ken Nakamula

Publication date: 13 October 1996

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

Full work available at URL: https://doi.org/10.1006/jnth.1996.0031

zbMATH Keywords

fundamental systems of unitslower bounds of the regulators of quartic fields

Mathematics Subject Classification ID

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

Related Items (5)

On systems of fundamental units of certain quartic fields ⋮ Fundamental units in a parametric family of not totally real quintic number fields ⋮ Dihedral and cyclic extensions with large class numbers ⋮ Distinct unit generated totally complex quartic fields ⋮ Upper bounds for residues of Dedekind zeta functions and class numbers of cubic and quartic number fields

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