A Complex Primitive Nth Root Of Unity: A Very Elementary Approach

2014/02/17 by Oswaldo Rio Branco de Oliveira, de Oliveira, Oswaldo Rio Branco
Mathematics · #97F50 #97I80 #Complex Variables (math.CV) #FOS: Mathematics #History and Theory of Mathematics #Mathematical and Theoretical Analysis #Mathematics and Applications #math.CV #msc:97F50 #msc:97I80

paper · pdf · doi:10.48550/arxiv.1402.4038

5 pages

arxiv created 2014/02/17 · openalex publication_date 2014/02/17 · arxiv updated 2014/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper presents a primitive nth root of unity in \mathbb C. The approach is very elementary and avoids the following: the complex exponential function, trigonometry, and group theory. It also avoids differentiation, integration, and series. The presentation of the primitive is indirect.

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