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Ultrametric Smale's $α$-theory

Published 16 Jun 2022 in math.NA, cs.NA, math.AG, and math.NT | (2206.08392v2)

Abstract: We present a version of Smale's $\alpha$-theory for ultrametric fields, such as the $p$-adics and their extensions, which gives us a multivariate version of Hensel's lemma.

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