On sums of two units (Q1341241)

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scientific article; zbMATH DE number 706659
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On sums of two units
scientific article; zbMATH DE number 706659

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    On sums of two units (English)
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    2 January 1995
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    Let \(K\) be a normal tamely ramified algebraic number field of degree \(n\) over the rationals \(\mathbb{Q}\), and let \((p)\) be a prime ideal of the rational integers. The author shows that any nonzero element of \((p)\) is not a sum of two units from the \(p\)-th cyclotomic field.
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    prime ideal
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    sum of two units
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    cyclotomic field
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