Further aspects of transcendence theory

Baker, A. ; Stewart, C. L.

Journées arithmétiques de Caen, Astérisque, no. 41-42 (1977), pp. 153-163

MR Zbl

@incollection{AST_1977__41-42__153_0,
     author = {Baker, A. and Stewart, C. L.},
     title = {Further aspects of transcendence theory},
     booktitle = {Journ\'ees arithm\'etiques de Caen},
     series = {Ast\'erisque},
     pages = {153--163},
     year = {1977},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {41-42},
     mrnumber = {447129},
     zbl = {0343.10016},
     language = {en},
     url = {https://www.numdam.org/item/AST_1977__41-42__153_0/}
}

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Baker, A.; Stewart, C. L. Further aspects of transcendence theory, dans Journées arithmétiques de Caen, Astérisque, no. 41-42 (1977), pp. 153-163. https://www.numdam.org/item/AST_1977__41-42__153_0/

Bibliographie
Cité par

[1] A. Baker, Linear forms in the logarithms of algebraic numbers IV, Mathematika 15 (1968), 204-216. | MR | Zbl

[2] A. Baker, The Diophantine equation $y^{2} = a x^{3} + b x^{2} + c x + d$ , J. London Math. Soc. 43 (1968), 1-9. | Zbl | MR

[3] A. Baker, A sharpening of the bounds for linear forms in logarithms. Acta Arith. 21 (1972), 117-129. | MR | Zbl | EuDML | DOI

[4] A. Baker, Some aspects of transcendence theory. Astérisque 24-25 (1975), 169-175. | MR | Zbl | Numdam

[5] A. Baker, Transcendental number theory (Cambridge Univ. Press, 1975). | MR | Zbl | DOI

[6] A. Baker, The theory of linear forms in logarithms. Advances in transcendence theory (Academic Press, London and New York, 1977). | MR | Zbl

[7] J. Coates, An effective $p$ -adic analogue of a theorem of Thue II : The greatest prime factor of a binary form. Acta Arith. 16 (1970), 399-412. | MR | Zbl | EuDML | DOI

[8] S. V. Kotov, Greatest prime factor of a polynomial. Mat. Zametki 13 (1973), 515-522. | MR | Zbl

[9] A. J. Van Der Poorten, On Baker's inequality for linear forms in logarithms. Math. Proc. Camb. Phil. Soc. (to appear). | MR | Zbl

[10] A. J. Van Der Poorten, Effectively computable bounds for the solutions of certain Diophantine equations. Acta Arith. (to appear). | MR | Zbl | EuDML

[11] A. J. Van Der Poorten, Linear forms in logarithms in the p-adic case. Advances in transcendence theory (Academic Press, London and New York, 1977). | MR

[12] A. Schinzel and R. Tijdeman, On the equation $y^{m} = P (x)$ , Acta Arith. (to appear). | Zbl | EuDML | MR

[13] T. N. Shorey, On linear forms in the logarithms of algebraic numbers. Acta Arith. 30 (1976), 27-42. | MR | Zbl | EuDML | DOI

[14] T. N. Shorey and R. Tijdeman, New applications of Diophantine approximations to Diophantine equations (to appear). | MR | Zbl

[15] T. N. Shorey and R. Tijdeman, On the greatest prime factors of polynomials at integer points, Compositio Math, (to appear). | MR | Zbl | EuDML | Numdam

[16] T. N. Shorey, A.J. Van Der Poorten, A. Schinzel and R. Tijdeman, Applications of the Gelfond-Baker method to Diophantire equations. Advances in transcendence theory (Academic Press, London and New York, 1977). | MR | Zbl

[17] V. G. Sprindžuk, The greatest prime divisor of a binary form, Doklady Akad. Nauk. BSSR, 15 (1971), 389-391. | MR

[18] C. L. Stewart, Divisor properties of arithmetical sequences, Ph.D. dissertation (Cambridge, 1976).

[19] C. L. Stewart, On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers, Proc. London Math. Soc. (to appear). | Zbl | MR

[20] C. L. Stewart, Primitive divisors of Lucas and Lehmer numbers. Advances in transcendence theory (Academic Press, London and New York, 1977). | MR

[21] R. Tijdeman, On the equation of Catalan, Acta Arith. 29 (1976), 197-209. | MR | EuDML | DOI