Sums of squares in \(S\)-integers (Q2006021)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sums of squares in \(S\)-integers |
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Sums of squares in \(S\)-integers (English)
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8 October 2020
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In this work, the authors consider the problem of sums of squares in \(S\)-integers. They characterize the rings of \(S\)-integers such that all their totally positive elements were represented as a sum of squares. They also obtain partial answers to the question: when are all the totally positive algebraic integers that are divisible by \(m\) represented as a sum of squares?
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number field
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totally real
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\(S\)-integers
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sum of squares
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Pythagoras number
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