On the number of polynomials of bounded measure
A. Dubickas ; S. V. Konyagin
Acta Arithmetica, Tome 84 (1998), p. 325-342 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207200
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     author = {A. Dubickas and S. V. Konyagin},
     title = {On the number of polynomials of bounded measure},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {325-342},
     zbl = {0926.11080},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav86i4p325bwm}
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A. Dubickas; S. V. Konyagin. On the number of polynomials of bounded measure. Acta Arithmetica, Tome 84 (1998) pp. 325-342. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav86i4p325bwm/

[000] [An] G. E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, Mass., 1976.

[001] [Bá-Fü] I. Bárány and Z. Füredy, Computing the volume is difficult, Discrete Comput. Geom. 2 (1987), 319-326. | Zbl 0628.68041

[002] [Bo-Mo] D. W. Boyd and H. L. Montgomery, Cyclotomic partitions, in: Number Theory, R. A. Mollin (ed.), de Gruyter, 1990, 7-25.

[003] [Do] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. | Zbl 0416.12001

[004] [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). | Zbl 0648.52003

[005] [Ko] S. V. Konyagin, On the number of irreducible polynomials with 0, 1 coefficients, Acta Arith., submitted.

[006] [La] E. Landau, Sur quelques théorèmes de M. Petrovic relatifs aux zéros des fonctions analytiques, Bull. Soc. Math. France 33 (1905), 251-261. | Zbl 36.0467.01

[007] [Le] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), 461-479. | Zbl 0007.19904

[008] [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Sér. I 296 (1983), 707-708. | Zbl 0557.12001

[009] [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. | Zbl 0467.12008

[010] [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. | Zbl 0235.12003

[011] [Ti] V. M. Tikhomirov, Some Questions in Approximation Theory, Izdat. Moskov. Univ., Moscow, 1976 (in Russian).