Simultaneous approximations of exponents by transcendental numbers of certain classes
Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 305-314.

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We obtain a theorem on simultaneous approximations of values of the exponential function by elements of fields of finite transcendence degree for whose generators we have a “sufficiently good” estimate of the measure of algebraic independence.
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     author = {A. A. Shmelev},
     title = {Simultaneous approximations of exponents by transcendental numbers of certain classes},
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A. A. Shmelev. Simultaneous approximations of exponents by transcendental numbers of certain classes. Matematičeskie zametki, Tome 20 (1976) no. 3, pp. 305-314. http://geodesic.mathdoc.fr/item/MZM_1976_20_3_a0/