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Volumn 74, Issue 1, 1996, Pages 81-95

An effective lower bound for the height of algebraic numbers

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EID: 0030457346     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-74-1-81-95     Document Type: Article
Times cited : (130)

References (18)
  • 2
    • 0000326055 scopus 로고
    • Algebraic integers near the unit circle
    • P. E. Blanksby and H. L. Montgomery, Algebraic integers near the unit circle, Acta Arith. 18 (1971), 355-369.
    • (1971) Acta Arith. , vol.18 , pp. 355-369
    • Blanksby, P.E.1    Montgomery, H.L.2
  • 3
    • 84966198919 scopus 로고
    • Reciprocal polynomials having small measure
    • D. W. Boyd, Reciprocal polynomials having small measure, Math. Comp. 35 (1980), 1361-1377.
    • (1980) Math. Comp. , vol.35 , pp. 1361-1377
    • Boyd, D.W.1
  • 4
    • 84968518103 scopus 로고
    • Reciprocal polynomials having small measure. II
    • _, Reciprocal polynomials having small measure. II, ibid. 53 (1989), 355-357.
    • (1989) Math. Comp. , vol.53 , pp. 355-357
  • 5
    • 0011342805 scopus 로고
    • On a conjecture of D. H. Lehmer
    • corrigendum, ibid., 327
    • D. C. Cantor and E. G. Straus, On a conjecture of D. H. Lehmer, Acta Arith. 42 (1982), 97-100; corrigendum, ibid., 327.
    • (1982) Acta Arith. , vol.42 , pp. 97-100
    • Cantor, D.C.1    Straus, E.G.2
  • 6
    • 0000072285 scopus 로고
    • On a question of Lehmer and the number of irreducible factors of a polynomial
    • E. Dobrowolski, On a question of Lehmer and the number of irreducible factors of a polynomial, ibid. 34 (1979), 391-401.
    • (1979) Acta Arith , vol.34 , pp. 391-401
    • Dobrowolski, E.1
  • 7
    • 0003024708 scopus 로고
    • On a conjecture of A. Schinzel and H. Zassenhaus
    • A. Dubickas, On a conjecture of A. Schinzel and H. Zassenhaus, ibid. 63 (1993), 15-20.
    • (1993) Acta Arith , vol.63 , pp. 15-20
    • Dubickas, A.1
  • 8
    • 58149363345 scopus 로고    scopus 로고
    • Formes linéaires en deux logarithmes et déterminant d'interpolation
    • to appear
    • M. Laurent, M. Mignotte et Y. Nesterenko, Formes linéaires en deux logarithmes et déterminant d'interpolation, J. Number Theory, to appear.
    • J. Number Theory
    • Laurent, M.1    Mignotte, M.2    Nesterenko, Y.3
  • 9
    • 0001729071 scopus 로고
    • Factorization of certain cyclotomic functions
    • D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), 461-479.
    • (1933) Ann. of Math. (2) , vol.34 , pp. 461-479
    • Lehmer, D.H.1
  • 10
    • 0000561420 scopus 로고
    • Sur la mesure de Mahler d'un nombre algébrique
    • R. Louboutin, Sur la mesure de Mahler d'un nombre algébrique, C. R. Acad. Sci. Paris Sér. I 296 (1983), 707-708.
    • (1983) C. R. Acad. Sci. Paris Sér. I , vol.296 , pp. 707-708
    • Louboutin, R.1
  • 11
    • 0011347034 scopus 로고
    • On the measure of algebraic integers
    • in Russian
    • E. M. Matveev, On the measure of algebraic integers, Mat. Zametki 49 (1991), 152-154 (in Russian).
    • (1991) Mat. Zametki , vol.49 , pp. 152-154
    • Matveev, E.M.1
  • 12
    • 4244153248 scopus 로고
    • Le problème de Lehmer: Méthode de dobrowolski et lemme de Siegel "à la Bombieri-Vaaler"
    • Publ. Math. Univ. P. et M. Curie (Paris VI)
    • M. Meyer, Le problème de Lehmer: méthode de Dobrowolski et lemme de Siegel "à la Bombieri-Vaaler", Publ. Math. Univ. P. et M. Curie (Paris VI), 90, Problèmes Diophantiens 1988/89, No5, 15 p.
    • (1988) Problèmes Diophantiens , vol.90 , Issue.5 , pp. 15
    • Meyer, M.1
  • 13
    • 0041596198 scopus 로고
    • Minorations de discriminants
    • [d'après A.M. Odlyzko], Séminaire Bourbaki 479, Springer
    • G. Poitou, Minorations de discriminants [d'après A.M. Odlyzko], Séminaire Bourbaki 479, Lecture Notes in Math. 567, Springer, 1977, 136-153.
    • (1977) Lecture Notes in Math. , vol.567 , pp. 136-153
    • Poitou, G.1
  • 14
    • 0011268664 scopus 로고
    • Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
    • G. Robin, Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n, Acta Arith. 42 (1983), 367-389.
    • (1983) Acta Arith. , vol.42 , pp. 367-389
    • Robin, G.1
  • 15
    • 84972540003 scopus 로고
    • Approximate formulas for some functions of prime numbers
    • J. B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
    • (1962) Illinois J. Math. , vol.6 , pp. 64-94
    • Rosser, J.B.1    Schoenfeld, L.2
  • 16
    • 0002469962 scopus 로고
    • A refinement of two theorems of Kronecker
    • A. Schinzel and H. Zassenhaus, A refinement of two theorems of Kronecker, Michigan Math. J. 12 (1965), 81-85.
    • (1965) Michigan Math. J. , vol.12 , pp. 81-85
    • Schinzel, A.1    Zassenhaus, H.2
  • 17
    • 0002696426 scopus 로고
    • On the product of the conjugates outside the unit circle of an algebraic integer
    • 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.
    • (1971) Bull. London Math. Soc. , vol.3 , pp. 169-175
    • Smyth, C.J.1
  • 18
    • 0011360604 scopus 로고
    • Algebraic integers whose conjugates lie near the unit circle
    • C. L. Stewart, Algebraic integers whose conjugates lie near the unit circle, Bull. Soc. Math. France 106 (1978), 169-176.
    • (1978) Bull. Soc. Math. France , vol.106 , pp. 169-176
    • Stewart, C.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.