Hensel's Lemma, Backward Dynamics and p-adic Approximations

Sushma Palimar

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arXiv · 1302.2324

Hensel's Lemma, Backward Dynamics and p-adic Approximations

Sushma Palimar

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Abstract

The problem of backward dynamics over the ring of p-adic integers is studied. It is shown that Inverse Limit Theory provides the right framework. Backward iterations of a polynomial with p-adic integer coefficients are constructed by solving congruences modulo powers of p, which inturn are solved by Hensel's lifting lemma.

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Sushma Palimar. 2014-04-14. Hensel's Lemma, Backward Dynamics and p-adic Approximations. https://arxiv.org/abs/1302.2324

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