On systems of fundamental units of certain quartic fields

DOI10.1142/S1793042115500864zbMath1331.11099OpenAlexW1667139595MaRDI QIDQ3451549

Miho Aoki, Yasuhiro Kishi

Publication date: 17 November 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115500864

zbMATH Keywords

quartic fieldsrelative unitssystems of fundamental unitsparametric quartic polynomial

Mathematics Subject Classification ID

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

Related Items (2)

A family of pairs of imaginary cyclic fields of degree \((p-1)/2\) with both class numbers divisible by \(p\) ⋮ An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five

Cites Work

• A construction of the groups of units of some number fields from certain subgroups
• Certain quartic fields with small regulators
• Units in some parametric families of quartic fields

This page was built for publication: On systems of fundamental units of certain quartic fields