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On Legendre criterium for convergents

2020/02/08 by Nikolay Moshchevitin, N. G. Moshchevitin, Moshchevitin, N. G. +2
Mathematics · #11A55 #FOS: Mathematics #History and Overview (math.HO) #Iterative Methods for Nonlinear Equations #Mathematical Dynamics and Fractals #Mathematical and Theoretical Analysis #Number Theory (math.NT) #math.HO #math.NT #msc:11A55

paper · pdf · doi:10.48550/arxiv.2002.07587

7 pages, in Russian, submitted to "Istoriko-matematicheskie issledovaniya", minor corrections

openalex publication_date 2020/02/08 · arxiv created 2021/01/31 · arxiv updated 2021/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a brief historical note about famous Legendre's criterium for convergent of continued fraction expansion. The paper is written in Russian.

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