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An inequality about irreducible factors of integer polynomials (II)

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 508))

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Abstract

We give a new upper bound for the height of an irreducible factor of an integer polynomial. This paper also contains a new bound for the general case of polynomials with complex coefficients.

These bounds are very useful in algorithms to factorize polynomials with integer (or algebraic) coefficients.

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References

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Authors

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Shojiro Sakata

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© 1991 Springer-Verlag Berlin Heidelberg

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Glesser, P., Mignotte, M. (1991). An inequality about irreducible factors of integer polynomials (II). In: Sakata, S. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 1990. Lecture Notes in Computer Science, vol 508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54195-0_56

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  • DOI: https://doi.org/10.1007/3-540-54195-0_56

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54195-0

  • Online ISBN: 978-3-540-47489-0

  • eBook Packages: Springer Book Archive

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