On Degrees of Modular Common Divisors and the Big Prime gcd Algorithm

We consider a few modifications of the Big prime modular gcd algorithm for polynomials in Z[x]. Our modifications are based on bounds of degrees of modular common divisors of polynomials, on estimates of the number of prime divisors of a resultant, and on finding preliminary bounds on degrees of com...

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Bibliographic Details
Main Author: Vahagn Mikaelian
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2016/3262450