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On testing the divisibility of lacunary polynomials by cyclotomic polynomials

Michael Filaseta, Andrzej Schinzel

Source record

Source: Crossref

Published: Aug 5, 2003

DOI: 10.1090/s0025-5718-03-01589-8

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Source abstract

An algorithm is described that determines whether a given polynomial with integer coefficients has a cyclotomic factor. The algorithm is intended to be used for sparse polynomials given as a sequence of coefficient-exponent pairs. A running analysis shows that, for a fixed number of nonzero terms, the algorithm runs in polynomial time.

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On testing the divisibility of lacunary polynomials by cyclotomic polynomials — Mathematical Frontier Network