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Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: I. The Largest Factor

โœ Scribed by David W. Boyd

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
488 KB
Volume
16
Category
Article
ISSN
0747-7171

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Bounds for the Height of a Factor of a P
Bounds for the Height of a Factor of a Polynomial in Terms of Bombieri's Norms: II. The Smallest Factor
โœ David W. Boyd ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

Let \(f(x)\) be a polynomial of degree \(n\) with complex coefficients, which factors as \(f(x)=\) \(g(x) h(x)\). Let \(H(g)\) be the maximum of the absolute value of the coefficients of \(g\). For \(1 \leq p \leq \infty\), let \([f]_{p}\) denote the \(p^{\text {th }}\) Bombieri norm of \(f\). This