On the number of polynomials of bounded measure

• Autorzy: A. Dubickas , S. V. Konyagin
• Języki publikacji: EN

Kategorie tematyczne

• 11R04: Algebraic numbers; rings of algebraic integers
• 11C08: Polynomials
• 12D10: Polynomials: location of zeros (algebraic theorems)
• 11R09: Polynomials (irreducibility, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 86
• Numer: 4
• Strony: 325-342

Daty

wydano

1998

otrzymano

1997-11-14

poprawiono

1998-06-05

Twórcy

autor

A. Dubickas

• Department of Mathematics, Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania

autor

S. V. Konyagin

• Department of Mechanics and Mathematics, Moscow State University, 119899 Moscow, Russia

Bibliografia

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• [Bo-Mo] D. W. Boyd and H. L. Montgomery, Cyclotomic partitions, in: Number Theory, R. A. Mollin (ed.), de Gruyter, 1990, 7-25.
• [Do] E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
• [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).
• [Ko] S. V. Konyagin, On the number of irreducible polynomials with 0, 1 coefficients, Acta Arith., submitted.
• [La] E. Landau, Sur quelques théorèmes de M. Petrovic relatifs aux zéros des fonctions analytiques, Bull. Soc. Math. France 33 (1905), 251-261.
• [Le] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), 461-479.
• [Lo] R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Sér. I 296 (1983), 707-708.
• [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.
• [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.
• [Ti] V. M. Tikhomirov, Some Questions in Approximation Theory, Izdat. Moskov. Univ., Moscow, 1976 (in Russian).