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Generador de Secuencias de Collatz con Detección de Ciclos en Raíces Digitales

Name: Generador de Secuencias de Collatz con Detección de Ciclos en Raíces Digitales
Creator: Cerda Bennassar, Miguel
Keywords: Graph theory, computational mathematics, Number theory, PHP implementation, Collatz conjecture, 3n+1 problem, Z*9, Pattern recognition, Digital roots, Integer sequences

integration_instructionsResearch softwarekeyboard_double_arrow_right Software 10 May 2025 Spanish Publisher:Zenodo

Authors: Cerda Bennassar, Miguel;

doi: 10.5281/zenodo.15380752 , 10.5281/zenodo.15380751 , 10.5281/zenodo.15386358

Generador de Secuencias de Collatz con Detección de Ciclos en Raíces Digitales

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Abstract

Software complementario desarrollado para el análisis de secuencias de Collatz mediante raíces digitales. Implementa el algoritmo de detección de los 11 ciclos identificados en el estudio sobre la estructura cíclica de la Conjetura de Collatz y el grupo multiplicativo Z*₉. Este código será citado como material suplementario en el artículo: "La Estructura Cíclica de la Conjetura de Collatz: Un Enfoque Mediante Raíces Digitales y Z*₉" (en preparación). Esta versión contiene un error crítico. Por favor, use la Versión 2: [https://doi.org/10.5281/zenodo.15386358]

Keywords

Graph theory, computational mathematics, Number theory, PHP implementation, Collatz conjecture, 3n+1 problem, Z*9, Pattern recognition, Digital roots, Integer sequences, Mathematical software, Cycle detection

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