Reduced algebraic numbers in the complex plane (Q1335269)

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scientific article; zbMATH DE number 645307
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Reduced algebraic numbers in the complex plane
scientific article; zbMATH DE number 645307

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    Reduced algebraic numbers in the complex plane (English)
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    28 September 1994
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    A theory is developed which enables one to determine whether or not two algebraic numbers or two binary forms are equivalent over \(\mathbb{Z}[i]\). This extends earlier work of the author from the real case [J. Number Theory 16, 205-211 (1983; Zbl 0511.10018) and J. Number Theory 20, 159- 161 (1985; Zbl 0565.12001)]. Essential is the use of the results of \textit{A. Schmidt} [Acta Math. 134, 1-85 (1975; Zbl 0329.10023)].
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    binary quadratic forms
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    equivalence
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    algebraic numbers
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