Congruence relations for the fundamental unit of a pure cubic field and its class number

DOI10.1016/J.JNT.2016.02.012zbMath1414.11133OpenAlexW2326462663MaRDI QIDQ273439

Anupam Saikia, Debopam Chakraborty

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.012

zbMATH Keywords

class numberfundamental unit

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Divisibility of Class Number of a Real Cubic or Quadratic Field and Its Fundamental Unit

Cites Work

• Cubic fields whose class numbers are not divisible by 3
• Fundamental units of real quadratic fields of odd class number
• Why is the Class Number of $\Q(\sqrt[3{11})$ even?]
• A table of fundamental units of purely cubic fields

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