Computing the lower bound for linear forms in logarithms

Alfred J. Van der Poorten

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1975-1976)

  • Volume: 17, Issue: 1, page 1-9

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Van der Poorten, Alfred J.. "Computing the lower bound for linear forms in logarithms." Séminaire Delange-Pisot-Poitou. Théorie des nombres 17.1 (1975-1976): 1-9. <http://eudml.org/doc/110915>.

@article{VanderPoorten1975-1976,
author = {Van der Poorten, Alfred J.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Secrétariat mathématique},
title = {Computing the lower bound for linear forms in logarithms},
url = {http://eudml.org/doc/110915},
volume = {17},
year = {1975-1976},
}

TY - JOUR
AU - Van der Poorten, Alfred J.
TI - Computing the lower bound for linear forms in logarithms
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1975-1976
PB - Secrétariat mathématique
VL - 17
IS - 1
SP - 1
EP - 9
LA - eng
UR - http://eudml.org/doc/110915
ER -

References

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  1. [1] Baker ( Alan). - Linear forms in the logarithms of algebraic numbers, Mathematika, t. 13, 1966, p. 204-216. Zbl0161.05201MR258756
  2. [2] Baker ( Alan). - Linear forms in the logarithms of algebraic numbers, II, Mathematika, t. 14, 1967, p. 102-107. Zbl0161.05202
  3. [3] Baker ( Alan). - Linear forms in the logarithms of algebraic numbers, III, Mathematika, t. 14, 1967, p. 220-228. Zbl0161.05301MR220680
  4. [4] Baker ( Alan). - Linear forms in the logarithms of algebraic numbers, IV, Mathematika, t. 15, 1968, p. 204-216. Zbl0169.37802MR258756
  5. [5] Baker ( Alan). - A sharpening in the bounds for linear forms in logarithms , Acta Arithm., Warszawa, t. 21, 1972, p. 117-129. Zbl0244.10031MR302573
  6. [6] Baker ( Alan). - A central theorem in transcendence theory, "Diophantine Approximation and its Applications", C. F. Osgood editor, p. 1-23. - New York, Academic Press, 1973. Zbl0262.10022MR354568
  7. [7] Baker ( Alan). - A sharpening in the bounds for linear forms in logarithms, III, Acta Arithm., Warszawa, t. 27, 1975, p. 247-252. Zbl0301.10030MR376550
  8. [8] Baker ( Alan). - Transcendental number theory. - Cambridge, Cambridge University Press, 1975. Zbl0297.10013MR422171
  9. [9] Baker ( Alan) and Coates ( John). - Fractional parts of powers of rationals, Math. Proc. Camb. phil. Soc., t. 77, 1975, p. 269-279. Zbl0298.10018MR360480
  10. [10] Baker ( Alan) and Stark ( H.M.). - On a fundamental inequality in number theory, Annals of Math., Series 2, t. 94, 1971, p. 190-199. Zbl0219.12009MR302572
  11. [11] Brumer ( A.). - On the units of algebraic number fields, Mathematika, t. 14, 1967, p. 121-124. Zbl0171.01105MR220694
  12. [12] Coates ( John). - An effective p-adic analogue of a theorem of Thue, Acta Arithm., Warszawa, t. 15, 1969, p. 279-305. Zbl0221.10025MR242768
  13. [13] Fel'dman ( N.I.). - Improved estimate for a linear form of the logarithms of algebraic numbers, Math. USSR-Sbornik, t. 6, 1968, p. 393-406 ; Zbl0235.10018
  14. and [in Russian] Mat. Sb., t. 77 (119), 1968, p. 423-436. Zbl0235.10018MR232736
  15. [14] Gel'fond ( A.O.). - Transcendental and algebraic numbers. - New York, Dover Publications, 1960. Zbl0090.26103MR111736
  16. [15] Hasse ( Helmut). - Zahlentheorie, 2e Auflage. - Berlin, Akademie Verlag, 1963. Zbl1038.11500MR153659
  17. [16] Kaufman ( R.M.). - The evaluation of the linear form of logarithms of algebraic numbers in the p-adic metric, Vestnik Moskov. Univ., Ser. I, t. 26, 1971, p. 3-10. Zbl0241.10021MR284404
  18. [17] Mahler ( Kurt). - Uber transzendente p-adische Zahlen, Compositio Math., Groningen, t. 2, 1935, p. 259-275. Zbl0012.05302
  19. [18] Poorten ( A. J. van der). - Hermite interpolation and p-adic exponential polynomials (dedicated to George Szekeres on his 65th birthday), J. Austral. math. Soc. (to appear). Zbl0348.12022
  20. [19] Poorten ( A. J. van der). - On Baker's inequality for linear forms in logarithms, Math. Proc. Camb. phil. Soc. (to appear). Zbl0341.10030
  21. [20] Poorten ( A. J. van der) and Loxton ( J.H.). - Computing the effectively computable bound in Baker's inequality for linear forms in logarithms (to appear) . Zbl0324.10012
  22. [21] Poorten ( A. J. van der). - Computing the effectively computable bound in Baker's inequality for linear forms in logarithms, II : the p-adic case (to appear). 
  23. [22] Schinzel ( A.). - On two theorems of Gel'fond and some of their applications, Acta Arithm., Warszawa, t. 13, 1967, p. 177-236. Zbl0159.07101MR222034
  24. [23] Shorey ( T.N.). - On gaps between numbers with a large prime factor, II, Acta Arithm., Warszawa, t. 25, 1974, p. 365-373. Zbl0258.10023MR344201
  25. [24] Shorey ( T.N.). - On linear forms in the logarithms of algebraic numbers, Acta Arithm., Warszawa, t. 30, 1976, p. 27-42. Zbl0289.10023MR412117
  26. [25] Sprindžuk ( V.G.). - On an estimate for solutions of Thue's equation, Math. USSR - Izvestija, t. 36, 1972, p. 705-734 ; Zbl0259.10033
  27. and [in Russian] Izv. Akad. Nauk SSSR, t. 36, 1972, p. 712-741. MR313186
  28. [26] Stark ( H.M.). - Further advances in the theory of linear forms in logarithms, "Diophantine Approximation and its Applications", C. F. Osgood ed., p. 255- 293. - New York, Academic Press, 1973. Zbl0264.10023MR352016
  29. [27] Tijdeman ( R.). - On the Gel'fond-Baker method and its applications : Hilbert's seventh problem (to appear). Zbl0341.10026
  30. [28] Tijdeman ( R.). - Applications of the Gel'fond-Baker method to rational number theory, "Bolyai Janos Society Colloquium on number theory [1974. Debrecen]" (to appear). Zbl0335.10022MR560494
  31. [29] Tijdeman ( R.). - On the equation of Catalan, Act a Arithm., Warszawa (to appear). Zbl0286.10013MR404137

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