On the Newman sum over multiples of a prime with a primitive or semiprimitive root 2

2007/10/06 by Vladimir Shevelev, Shevelev, Vladimir
Mathematics · #11A63 #Algebraic and Geometric Analysis #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Rings, Modules, and Algebras #math.NT #msc:11A63

paper · pdf · doi:10.48550/arxiv.0710.1354

4 pages

arxiv created 2007/10/06 · openalex publication_date 2007/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain a simple relations for the Newman sum over multiples of a prime with a primitive or semiprimitive root 2. We consider the case of p=17 as well.

Citations

• Two algorithms for evaluation of the Newman digit sum, and a new proof of Coquet's theorem

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