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The Determination of Units in Real Cyclic Sextic Fields

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Author(s): Sirpa Mäki (auth.)
Series: Lecture Notes in Mathematics 797
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1980

Language: English
Pages: 201
City: Berlin; New York
Tags: Number Theory

Introduction....Pages 1-5
Real cyclic cubic fields....Pages 6-11
Real cyclic sextic fields....Pages 12-22
The function ℳ and the structure of U R ....Pages 23-31
Bergström’s product formula....Pages 32-36
Bergström’s product formula in the case of real cyclic sextic fields....Pages 37-51
Formulas for computing ξ A ....Pages 52-57
The class number of K 6 ....Pages 58-59
The signature rank of U 6 ....Pages 60-61
The computer program....Pages 62-67
Numerical results....Pages 68-193