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Complexity of natural numbers

Published 5 Nov 2021 in math.NT | (2111.03345v1)

Abstract: This is the English version of the paper: "Complejidad de los n\'umeros naturales", Gaceta de la Real Sociedad Matem\'atica Espa~nola 3 (2000) 230--250. In this paper, several conjectures about the complexity of natural numbers are proposed. In a recent joint paper with H. Altman "Integer Complexity, stability, and self-similarity" arXiv:2111.00671, we resolve the last of these conjectures. This is why I consider its translation useful now as a reference.

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Authors (1)

  1. J. Arias de Reyna 

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