Linear forms in $p$-adic logarithms. II

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1. [1] A. Baker, A sharpening of the bounds for linear forms in logarithms II, Acta Arith.24 (1973) 33-36. Zbl0261.10025MR376549
2. [2] A. Baker, The theory of linear forms in logarithms, Transcendence theory: advances and applications edited by A. Baker and D.W. Masser, Academic Press, London, 1977, pp. 1-27. Zbl0361.10028MR498417
3. [3] A. Baker and J. Coates, Fractional parts of powers of rationals, Math. Proc. Camb. Phil. Soc.77 (1975) 269-279. Zbl0298.10018MR360480
4. [4] A. Baker and H. Stark, On a fundamental inequality in number theory, Ann. Math.94 (1971) 190-199. Zbl0219.12009MR302572
5. [5] D.W. Boyd, The maximal modulus of an algebraic integer, Mathematics of Computation45 (1985) 243-249. Zbl0575.12002MR790657
6. [6] A. Capelli, Sulla riduttibilità della funzione xn - A in un campo qualunque di razionalità (Auszug aus einem an Herrn F. Klein gerichteten Briefe), Mathemat. Annalen54 (1901) 602-603. Zbl32.0112.03MR1511131JFM32.0112.03
7. [7] P.J. Cijsouw and M. Waldschmidt, Linear forms and simultaneous approximations, Compositio Math.37 (1978) 21-50. Zbl0345.10021
8. [8] E. Dobrowolski, On the maximal modulus of conjugates of an algebraic integer, Bull. Acad. Polon. Sci.26 (1978) 291-292. Zbl0393.12003MR491585
9. [9] H. Hasse, Number theory, Springer-Verlag, Berlin, Heidelberg, New York1980. Zbl0423.12002MR562104
10. [10] S. Lang, Elliptic curves diophantine analysis, Grundl. Math. Wissensch.231, Springer-Verlag, Berlin, 1978. Zbl0388.10001MR518817
11. [11] R. Lidl and H. Niederreiter, Introduction to finite fields and their applications, Cambridge University Press, Cambridge, 1986. Zbl0629.12016MR860948
12. [12] J.H. Loxton, M. Mignotte, A.J. van der Poorten and M. Waldschmidt, A lower bound for linear forms in the logarithms of algebraic numbers, C.R. Math. Acad. Sci. Canada11 (1987) 119-124. Zbl0623.10023
13. [13] K. Mahler, Über transzendente P-adische Zahlen, Compositio Math.2 (1935) 259-275. Zbl0012.05302JFM61.0187.01
14. [14] A.J. van der Poorten, Linear forms in logarithms in the p-adic case, Transcendence theory: advances and applications edited by A. Baker and D.W. Masser, Academic Press, London, 1977, pp. 29-57. Zbl0367.10034MR498418
15. [15] L. Rédei, Algebra Vol. 1, Akadémiai Kiadó, Budapest, 1967. Zbl0055.25704MR66341
16. [16] 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. Zbl0235.12003MR289451
17. [17] R. Tijdeman, On the equation of Catalan, Acta Arith.29 (1976) 197-209. Zbl0286.10013MR404137
18. [18] M. Waldschmidt, A lower bound for linear forms in logarithms, Acta Arith.37 (1980) 257-283. Zbl0357.10017MR598881
19. [19] E. Weiss, Algebraic number theory, McGraw Hill, New York, 1963. Zbl0115.03601MR159805
20. [20] Kunrui Yu, Linear forms in logarithms in the p-adic case, New advances in transcendence theory edited by A. Baker, Cambridge University Press, Cambridge, 1988, pp. 411-434. Zbl0656.10028MR972015
21. [21] Kunrui Yu, Linear forms in p-adic logarithms, to appear in Acta Arith.; Max-Planck-Institut für MathematikBonn Preprint MPI/87-20. MR1027200

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