A p-adic lower bound for a linear form in logarithms

2021/07/02 by Palojärvi, Neea, Seppälä, Louna
#11J61 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2107.00971

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 Padé approximations of the second kind.

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