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Ranks of matrices of logarithms of algebraic numbers, I : The theorems of Baker and Waldschmidt–Masser
Let L denote the -ޑvector space of logarithms of algebraic numbers.In this expository work, we provide an introduction to the study of ranks of matrices with entries in L .We begin by considering a slightly different question; namely, we present a proof of a weak form of Baker's theorem.This states …