Calculation of fundamental units in some types of quartic number fields : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

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Title

Calculation of fundamental units in some types of quartic number fields : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University

Content partner

Massey University

Collection

Massey Research Online

Description

Dirichlet's theorem describing the structure of the unit group of the ring of integers of an algebraic number field shows that the units are generated by a primitive root of unity of the field plus a finite set of units called a fundamental system of units. However Dirichlet's theorem does not suggest any method by which a fundamental system of units can be obtained. In this thesis we consider the problem of calculating a fundamental system of units for certain types of quartic field which ar...

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Format

Research paper

Research format

Thesis

Thesis level

Doctoral

Date created

1984

URL

http://hdl.handle.net/10179/4630

Related subjects

Algebraic number theory / Algebraic fields / Mathematical notation

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