Generalization of Hensel's lemma: finding the roots of \(p\)-adic Lipschitz functions

DOI10.1016/j.jnt.2015.06.004zbMath1335.11097OpenAlexW1192358350WikidataQ125055494 ScholiaQ125055494MaRDI QIDQ495287

Ekaterina Yurova Axelsson, Andrei Yu. Khrennikov

Publication date: 9 September 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.004

zbMATH Keywords

Hensel's lemma\(p\)-adic Lipschitz functionsvan der Put basis

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean analysis (26E30)

Related Items

A new class of \(p\)-adic Lipschitz functions and multidimensional Hensel's lemma, Bernoulli maps on \(\mathbf{Z}_p\) in the expansions of van der Put and Mahler, Subcoordinate representation of $p$-adic functions and generalization of Hensel's lemma, The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\), Hensel's lemma for general continuous functions, -adic monomial equations and their perturbations, On the sub-coordinate representation of 𝑝-adic functions, On subwords in the base-$q$ expansion of polynomial and exponential functions, Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler's expansion

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