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Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

2007

Polynomials

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

Fractalized Cyclotomic Polynomials, David P. Roberts Jul 2007

Fractalized Cyclotomic Polynomials, David P. Roberts

Mathematics Publications

For each prime power pm, we realize the classical cyclotomic polynomial Φpm(x) as one of a collection of 3m different polynomials in Z[x]. We show that the new polynomials are similar to Φpm(x) in many ways, including that their discriminants all have the form ±pc. We show also that the new polynomials are more complicated than Φpm(x) in other ways, including that their complex roots are generally fractal in appearance.

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The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennet Jun 2007

The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennet

All HMC Faculty Publications and Research

No abstract provided in this article.

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The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennett Jun 2007

The Probability Of Relatively Prime Polynomials, Arthur T. Benjamin, Curtis D. Bennett

Mathematics Faculty Works

No abstract provided.

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