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Mignotte, Maurice; Waldschmidt, Michel

Linear forms in two logarithms and Schneider’s method. (English) Zbl 0349.10029

Math. Ann. 231, 241-267 (1978).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 4 Reviews
Cited in 24 Documents

MSC:

11J81 Transcendence (general theory)
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Full Text: DOI EuDML

References:

[1] Baker, A.: The theory of linear forms in logarithms; in: Transcendence theory: advances and applications, A. Baker and D.W. Masser, eds., Ch. 1, pp. 1-27. London, New York: Academic Press 1977
[2] Blanksby, P.E., Montgomery, H.L.: Algebraic integers near the unit circle. Acta Arith.18, 355-369 (1971) · Zbl 0221.12003
[3] Cassels, J.W.S.: An introduction to diophantine approximation. Cambridge tracts in Math. No. 45 (1965) · Zbl 0131.29003
[4] Cijsouw, P.L.: Transcendence measures. University of Amsterdam (thesis) 1972 · Zbl 0252.10031
[5] Cijsouw, P.L., Waldschmidt, M.: Linear forms and simultaneous approximations. Compositio Math.34, 173-197 (1977) · Zbl 0345.10021
[6] Cudnovskii, G.V.: The Gelfond-Baker method in problems of diophantine approximation. Top. Number Theory, Debrecen (1974), Colloq. Math. Soc. Janos Bolyai13 19-30 (1976)
[7] Güting, R.: Polynomials with multiple zeroes. Mathematik14, 181-196 (1967) · Zbl 0173.05101 · doi:10.1112/S002557930000379X
[8] Mignotte, M.: An inequality about factors of polynomials. Math. of Computation28, 1153-1157 (1974) · Zbl 0299.12101 · doi:10.1090/S0025-5718-1974-0354624-3
[9] Mignotte, M., Waldschmidt, M.: Approximations des valeurs de fonctions transcendantes. Koninkl. Nederl. Akad. van Wet., Proc., Ser., A,78 (1975), and Indag. Math.37, 213-233 (1975) · Zbl 0305.10027
[10] Ramachandra, K., Shorey, T.N., Tijdeman, R.: On Grimm’s problem relating to factorisation of a block of consecutive integers (II). J. reine angew. Math.288, 192-201 (1976) · Zbl 0333.10028 · doi:10.1515/crll.1976.288.192
[11] Shorey, T.N.: Linear forms in the logarithms of algebraic numbers with small coefficients. J. Indian Math. Soc.38, 271-292 (1974) · Zbl 0349.10028
[12] Van der Poorten, A.J., Loxton, J.H.: Multiplicative relations in number fields. Bull. Austral. Math. Soc.16, 83-98 (1977); corrigendum and addendum, id., to appear · Zbl 0335.10023 · doi:10.1017/S0004972700023042
[13] Waldschmidt, M.: Nombres transcendants. Lecture Notes in Mathematics 402. Berlin, Heidelberg, New York: Springer 1974 · Zbl 0302.10030
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