On the number of polynomials of bounded measure

Acta Arithmetica

Volumn 86, Issue 4, 1998, Pages 325-342

  Dubickas, A ^a   Konyagin, S V ^b  

^a VILNIUS UNIVERSITY   (Lithuania)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032437235     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-86-4-325-342     Document Type: Article

References (12)

1. G. E. Andrews, The Theory of Partitions, Addison-Wesley, Reading, Mass., 1976.
2. I. Bárány and Z. Füredy, Computing the volume is difficult, Discrete Comput. Geom. 2 (1987), 319-326.
3. D. W. Boyd and H. L. Montgomery, Cyclotomic partitions, in: Number Theory, R. A. Mollin (ed.), de Gruyter, 1990, 7-25.
4. E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401.
5. 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).
6. S. V. Konyagin, On the number of irreducible polynomials with 0, 1 coefficients, Acta Arith., submitted.
7. E. Landau, Sur quelques théorèmes de M. Petrovic relatifs aux zéros des fonctions analytiques, Bull. Soc. Math. France 33 (1905), 251-261.
8. D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), 461-479.
9. R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Sér. I 296 (1983), 707-708.
10. 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.
11. 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.
12. V. M. Tikhomirov, Some Questions in Approximation Theory, Izdat. Moskov. Univ., Moscow, 1976 (in Russian).