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

Neea Palojärvi; Louna Seppälä

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arXiv · 2107.00971

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

Neea Palojärvi·Louna Seppälä

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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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Neea Palojärvi, Louna Seppälä. 2021-07-02. A $p$-adic lower bound for a linear form in logarithms. https://arxiv.org/abs/2107.00971

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