Approximation measures for logarithms of algebraic numbers
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 1, p. 225-249 
@article{ASNSP_2001_4_30_1_225_0,
     author = {Amoroso, Francesco and Viola, Carlo},
     title = {Approximation measures for logarithms of algebraic numbers},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 30},
     number = {1},
     year = {2001},
     pages = {225-249},
     zbl = {1008.11028},
     mrnumber = {1882030},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2001_4_30_1_225_0}
}

Amoroso, Francesco; Viola, Carlo. Approximation measures for logarithms of algebraic numbers. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 30 (2001) no. 1, pp. 225-249. http://www.numdam.org/item/ASNSP_2001_4_30_1_225_0/

[AR] K. Alladi - M.L. Robinson, Legendre polynomials and irrationality, J. reine angew. Math. 318 (1980), 137-155. | MR 579389 | Zbl 0425.10039

[D] J. Dieudonné, "Calcul Infinitésimal", Hermann, Paris, 1968. | MR 226971 | Zbl 0155.10001

[H] M. Hata, C2-saddle method and Beukers' integral, Trans. Amer. Math. Soc. 352 (2000), 4557-4583. | MR 1641099 | Zbl 0996.11048

[R] E. Reyssat, Mesures de transcendance pour les logarithmes de nombres rationnels, In: "Approximations diophantiennes et nombres transcendants", D. Bertrand - M. Waldschmidt (eds.), Progress in Math. 31, Birkhäuser, 1983, pp. 235-245. | MR 702201 | Zbl 0522.10023

[RV] G. Rhin - C. Viola, On a permutation group related to ζ (2), Acta Arith. 77 (1996), 23-56. | Zbl 0864.11037

[S] W.M. Schmidt, "Diophantine Approximation", Lecture Notes in Mathematics 785, Springer-Verlag, 1980. | MR 568710 | Zbl 0421.10019

[V] C. Viola, Hypergeometric functions and irrationality measures, In: " 'Analytic Number Theory", Y. Motohashi (ed.), London Math. Soc. Lecture Note Series 247, Cambridge Univ. Press, 1997, pp. 353-360. | MR 1695002 | Zbl 0904.11020

[W] M. Waldschmidt, "Nombres Transcendants", Lecture Notes in Mathematics 402, Springer-Verlag, 1974. | MR 360483 | Zbl 0302.10030