Norms of factors of polynomials

Michael Filaseta; Ikhalfani Solan

Acta Arithmetica (1997)

  • Volume: 82, Issue: 3, page 243-255
  • ISSN: 0065-1036

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Michael Filaseta, and Ikhalfani Solan. "Norms of factors of polynomials." Acta Arithmetica 82.3 (1997): 243-255. <http://eudml.org/doc/207090>.

@article{MichaelFilaseta1997,
author = {Michael Filaseta, Ikhalfani Solan},
journal = {Acta Arithmetica},
keywords = {polynomial; norms of factors; cyclotomic; Mahler measure; inequality},
language = {eng},
number = {3},
pages = {243-255},
title = {Norms of factors of polynomials},
url = {http://eudml.org/doc/207090},
volume = {82},
year = {1997},
}

TY - JOUR
AU - Michael Filaseta
AU - Ikhalfani Solan
TI - Norms of factors of polynomials
JO - Acta Arithmetica
PY - 1997
VL - 82
IS - 3
SP - 243
EP - 255
LA - eng
KW - polynomial; norms of factors; cyclotomic; Mahler measure; inequality
UR - http://eudml.org/doc/207090
ER -

References

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  1. [1] D. Boyd, Two sharp inequalities for the norm of a factor of a polynomial, Mathematika 39 (1992), 341-349. Zbl0758.30003
  2. [2] J. Donaldson and Q. Rahman, Inequalities for polynomials with a prescribed zero, Pacific J. Math. 41 (1972), 375-378. Zbl0235.30001
  3. [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. [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. Zbl0795.11064
  5. [5] P. Glesser, Nouvelle majoration de la norme des facteurs d'un polynôme, C. R. Math. Rep. Acad. Sci. Canada 12 (1990), 224-228. Zbl0729.12001
  6. [6] A. Granville, Bounding the coefficients of a divisor of a given polynomial, Monatsh. Math. 109 (1990), 271-277. Zbl0713.12001
  7. [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. Zbl0654.12001
  8. [8] M. Mignotte, An inequality about factors of polynomials, Math. Comp. 28 (1974), 1153-1157. Zbl0299.12101
  9. [9] A. Schinzel, Reducibility of lacunary polynomials I, Acta Arith. 16 (1969/70), 123-159. 
  10. [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. [11] J. Uspensky, Theory of Equations, McGraw-Hill, New York, 1948. 

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