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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

An inequality about factors of polynomials


Author: M. Mignotte
Journal: Math. Comp. 28 (1974), 1153-1157
MSC: Primary 12D05
MathSciNet review: 0354624
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Abstract: A sharp inequality is proved about the product of some roots of a polynomial. It is used to bound the height of the factors of a polynomial. Applications are given to the problem of factorization and numerical examples show that these bounds strongly improve the previous ones.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1974-0354624-3
PII: S 0025-5718(1974)0354624-3
Keywords: Inequality, roots of polynomial, factorization
Article copyright: © Copyright 1974 American Mathematical Society