A $p$-adic lower bound for a linear form in logarithms (2107.00971v2)

Published 2 Jul 2021 in math.NT

Abstract: Linear forms in logarithms have an important role in the theory of Diophantine equations. In this article, we prove explicit $p$-adic lower bounds for linear forms in $p$-adic logarithms of rational numbers using Pad\'e approximations of the second kind.

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