Literature cited
C. Osgood, “Some theorems on diophantine approximation,” Trans. Amer. Math. Soc.,123, 64–87 (1966).
A. I. Galochkin, “Lower bounds on linear forms in the values of certain hypergeometric functions,” Matem. Zametki,8, No. 1, 19–28 (1970).
K. Mahler, “Zur Approximation der Exponentialfunktion und des Logarithmus,” J. Reine und Angew. Math.,166, 118–150 (1932).
N. I. Fel'dman, “Lower bounds for certain linear forms,” Vestn. Mosk. Univ., Ser. Matem. i Mekhan., No. 2, 63–71 (1967).
A. Ya. Khinchin (Khintchine), “Zur metrischen Theorie der diophantischen Approximationen,” Math. Z.,24, 707–714 (1926).
A. B. Shidlovskii, “On the transcendence and algebraic independence of the values of certain E-functions,” Vestn. Mosk. Univ., Ser. Matem. i Mekhan., No. 5, 44–59 (1961).
W. Adams, “Asymptotic diophantine approximations and Hurwitz numbers,” Amer. J. Math.,89, 1083–1108 (1967).
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Translated from Matematicheskie Zametki, Vol. 20, No. 1, pp. 35–45, July, 1976.
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Galochkin, A.I. The sharpening of the bounds on certain linear forms. Mathematical Notes of the Academy of Sciences of the USSR 20, 575–581 (1976). https://doi.org/10.1007/BF01152761
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DOI: https://doi.org/10.1007/BF01152761