The irreducible factorization of Fibonacci polynomials over \(\mathbb Q\) (Q2746558)
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scientific article; zbMATH DE number 1656219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The irreducible factorization of Fibonacci polynomials over \(\mathbb Q\) |
scientific article; zbMATH DE number 1656219 |
Statements
2 July 2002
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Fibonacci polynomials
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prime factorization
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The irreducible factorization of Fibonacci polynomials over \(\mathbb Q\) (English)
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\(F_n(a,b)\) is defined by \(y_0=0\), \(y_1=1\), \(y_{n+1}= ay_n+ by_{n-1}\), \(n\geq 1\). Then \(F_n(x,1)= U_n(x)\) are the Fibonacci polynomials, and the main result of the paper is the prime factorization of \(U_n(x)\) over the field of rational numbers.
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