On the number of polynomials of bounded measure

A. Dubickas; S. V. Konyagin

Acta Arithmetica (1998)

  • Volume: 86, Issue: 4, page 325-342
  • ISSN: 0065-1036

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A. Dubickas, and S. V. Konyagin. "On the number of polynomials of bounded measure." Acta Arithmetica 86.4 (1998): 325-342. <http://eudml.org/doc/207200>.

@article{A1998,
author = {A. Dubickas, S. V. Konyagin},
journal = {Acta Arithmetica},
keywords = {Mahler measure of a polynomial; Landau's inequality},
language = {eng},
number = {4},
pages = {325-342},
title = {On the number of polynomials of bounded measure},
url = {http://eudml.org/doc/207200},
volume = {86},
year = {1998},
}

TY - JOUR
AU - A. Dubickas
AU - S. V. Konyagin
TI - On the number of polynomials of bounded measure
JO - Acta Arithmetica
PY - 1998
VL - 86
IS - 4
SP - 325
EP - 342
LA - eng
KW - Mahler measure of a polynomial; Landau's inequality
UR - http://eudml.org/doc/207200
ER -

References

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  1. [An] G. E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, Mass., 1976. 
  2. [Bá-Fü] I. Bárány and Z. Füredy, Computing the volume is difficult, Discrete Comput. Geom. 2 (1987), 319-326. Zbl0628.68041
  3. [Bo-Mo] D. W. Boyd and H. L. Montgomery, Cyclotomic partitions, in: Number Theory, R. A. Mollin (ed.), de Gruyter, 1990, 7-25. 
  4. [Do] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. Zbl0416.12001
  5. [Gl] E. D. Gluskin, Extremal properties of orthogonal parallelepipeds and their applications to the geometry of Banach spaces, Mat. Sb. (N.S.) 136 (178) (1988), 85-96 (in Russian). Zbl0648.52003
  6. [Ko] S. V. Konyagin, On the number of irreducible polynomials with 0, 1 coefficients, Acta Arith., submitted. 
  7. [La] E. Landau, Sur quelques théorèmes de M. Petrovic relatifs aux zéros des fonctions analytiques, Bull. Soc. Math. France 33 (1905), 251-261. Zbl36.0467.01
  8. [Le] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), 461-479. Zbl0007.19904
  9. [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Sér. I 296 (1983), 707-708. Zbl0557.12001
  10. [Mi] M. Mignotte, Sur les nombres algébriques de petite mesure, Comité des Travaux Historiques et Scientifiques: Bulletin de la Section des Sciences 3 (1981), 65-80. Zbl0467.12008
  11. [Sm] C. J. Smyth, On the product of the conjugates outside the unit circle of an algebraic integer, Bull. London Math. Soc. 3 (1971), 169-175. Zbl0235.12003
  12. [Ti] V. M. Tikhomirov, Some Questions in Approximation Theory, Izdat. Moskov. Univ., Moscow, 1976 (in Russian). 

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