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On the number of terms in the irreducible factors of a polynomial over ℚ

Published online by Cambridge University Press:  18 May 2009

A. Choudhry  and
A. Schinzel
A. Choudhry
Affiliation:
Deputy High Commissioner, High Commission of India, 31 Grange Road, Singapore0 923.
A. Schinzel
Affiliation:
Mathematical Institute, Polish Academy of Sciences, P.O. Box 137, 00 950 Warszawa, Poland.
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All polynomials considered in this paper belong to ℚ[x] and reducibility means reducibility over ℚ. It has been established by one of us [5] that every binomial in ℚ[x] has an irreducible factor which is either a binomial or a trinomial. He has further raised the question “Does there exist an absolute constant K such that every trinomial in ℚ[x] has a factor irreducible over ℚ which has at most K terms (i.e. K non-zero coefficients)?”

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 34 , Issue 1 , January 1992 , pp. 11 - 15
Copyright
Copyright © Glasgow Mathematical Journal Trust 1992

References

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