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Linear Independence of Logarithms of Algebraic Numbers by Michel Waldschmidt (1992; manuscript dated 29 August 2016)

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webusers.imj-prg.fr/~michel.waldschmidt/articles/pdf/LIL.pdf
IMSc Report116, Madras. Author-hosted notes. Chapter1, Theorem1.7, gives the six-exponentials theorem for independent input families with d times ell greater than d plus ell; Conjecture1.8 states the four-exponentials conjecture.

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