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Monthly Archives: May 2013
Sufficient Condition to be a Polynomial?
Appropriate Level: Real analysis. The Question: Suppose is infinitely differentiable and that for each there is some for which the th derivative of at equals 0. Must be a polynomial?
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Cyclotomic Polynomials
Appropriate Level: Abstract Algebra The Question: Recall that the cyclotomic polynomials are defined for so that . Is it true that every coefficient of every cyclotomic polynomial is either 0, 1, or 1?
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