Ranks of matrices of logarithms of algebraic
numbers, I : The theorems of Baker and Waldschmidt–Masser
Samit Dasgupta
Abstract:Ranks of matrices of logarithms of algebraic numbers, IThe theorems of Baker and Waldschmidt-Masser
Samit DasguptaLet 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 that a collection of elements of L that is linearly independent over ޑ is in fact linear indep… Show more
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