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On the Diophantine Approximations of logarithms in cyclotomic fields

L. A. Gutnik
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Abstract

I present here the proofs of results, which are obtained in my papers "On the linear forms with algebraic coefficoients of logarithms of algebraic numbers", VINITI, 1996, 1617-B96, pp. 1 - 23 (in Russian), and "On the systems of linear forms with algebraic coefficoients of logarithms of algebraic numbers", VINITI, 1996, 2663-B96, pp. 1 - 18 (in Russian).

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L. A. Gutnik. 2004-12-19. On the Diophantine Approximations of logarithms in cyclotomic fields. https://arxiv.org/abs/math/0412374

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