Norms of factors of polynomials

• Autorzy: Michael Filaseta , Ikhalfani Solan
• Języki publikacji: EN

Kategorie tematyczne

• 12D05: Polynomials: factorization
• 11C08: Polynomials
• 30C10: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 3
• Strony: 243-255

Daty

wydano

1997

otrzymano

1996-08-20

poprawiono

1996-12-23

Twórcy

autor

Michael Filaseta

• Mathematics Department, University of South Carolina, Columbia, South Carolina 29208, U.S.A.

autor

Ikhalfani Solan

• Mathematics Department, U.W.I. Mona, Jamaica, W.I.

Bibliografia

• [1] D. Boyd, Two sharp inequalities for the norm of a factor of a polynomial, Mathematika 39 (1992), 341-349.
• [2] J. Donaldson and Q. Rahman, Inequalities for polynomials with a prescribed zero, Pacific J. Math. 41 (1972), 375-378.
• [3] A. Durand, Quelques aspects de la théorie analytique des polynômes I, II, in: Cinquante ans de polynômes (Paris, 1988), Lecture Notes in Math. 1415, Springer, Berlin, 1990, 1-42, 43-85.
• [4] M. Filaseta, M. Robinson and F. Wheeler, The minimal Euclidean norm of an algebraic number is effectively computable, J. Algorithms 16 (1994), 309-333.
• [5] P. Glesser, Nouvelle majoration de la norme des facteurs d'un polynôme, C. R. Math. Rep. Acad. Sci. Canada 12 (1990), 224-228.
• [6] A. Granville, Bounding the coefficients of a divisor of a given polynomial, Monatsh. Math. 109 (1990), 271-277.
• [7] R. Kannan, A. Lenstra and L. Lovász, Polynomial factorization and nonrandomness of bits of algebraic and some transcendental numbers, Math. Comp. 50 (1988), 235-250.
• [8] M. Mignotte, An inequality about factors of polynomials, Math. Comp. 28 (1974), 1153-1157.
• [9] A. Schinzel, Reducibility of lacunary polynomials I, Acta Arith. 16 (1969/70), 123-159.
• [10] A. Schinzel, Reducibility of lacunary polynomials, in: Proc. Sympos. Pure Math. 20, D. J. Lewis (ed.), Amer. Math. Soc., Providence, 1971, 135-149.
• [11] J. Uspensky, Theory of Equations, McGraw-Hill, New York, 1948.