A specific family of cyclotomic polynomials of order three (Q625836)
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scientific article; zbMATH DE number 5857677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A specific family of cyclotomic polynomials of order three |
scientific article; zbMATH DE number 5857677 |
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A specific family of cyclotomic polynomials of order three (English)
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25 February 2011
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The \(n\)-th cyclotomic polynomial \(\Phi_{n}(x)\) is called flat if the largest absolute value of its coefficients is \(1\). Let \(p<q<r\) be odd primes and \(2r\equiv\pm 1\pmod{pq}\). The author proves that \(\Phi_{pqr}(x)\) is flat if and only if \(p=3\) and \(q\equiv 1\pmod p\).
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flat cyclotomic polynomials
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