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Tips and Tricks for Computing Cyclotomic Polynomials - Famous Math Problems 20d

Insights into Mathematics via YouTube

Overview

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Learn techniques for computing cyclotomic polynomials in this mathematics video. Explore key facts and empirical observations about these polynomials, including their relationship to the Euler totient function. Work through examples of cyclotomic factorizations and tackle the challenge of finding Phi_1001. Examine explicit values for Phi_91 and Phi_143 to deepen your understanding of these important mathematical objects. Gain insights into the logical complexities surrounding cyclotomic polynomials' definition and irreducibility.

Syllabus

Key fact about cyclotomic polynumbers
More facts empirically at least
Examples of cyclotomic factorizations
Challenge: find Phi_1001
Explicit value for Phi_91 and Phi_143

Taught by

Insights into Mathematics

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