The positive discriminant case of Nagell's theorem for certain cubic orders

DOI10.1016/j.jnt.2010.09.007zbMath1219.11163OpenAlexW2075391544MaRDI QIDQ626835

Mark Spindler, Shashikant Mulay

Publication date: 18 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.09.007

zbMATH Keywords

discriminanttrace formscubic ordersCubic polynomialsfundamental units.

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Polynomials (irreducibility, etc.) (11R09)

Related Items (1)

Determination of the orders generated by a cyclic cubic unit that are Galois invariant

Cites Work

• Unnamed Item
• Unnamed Item
• The class number one problem for some totally complex quartic number fields
• Systems of fundamental units in cubic orders
• Fundamental units in a family of cubic fields
• Advanced Topics in Computional Number Theory

This page was built for publication: The positive discriminant case of Nagell's theorem for certain cubic orders