Squares and Cubes Modulo n

2006/04/21 by Steven Finch, Steven R. Finch, Finch, Steven +2 · 1 citation
Mathematics · Physics and Astronomy · #11N45 (Primary) 11A15 #11Y60 #40A25 #65B99 (Secondary) #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT #msc:11A15 #msc:11N45 #msc:11Y60 #msc:40A25 #msc:65B99

paper · pdf · doi:10.48550/arxiv.math/0604465

20 pages

openalex publication_date 2006/04/21 · arxiv created 2016/03/25 · arxiv updated 2016/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the asymptotics of the average number of squares (or quadratic residues) in Z_n and Z_n^*. Similar analyses are performed for cubes, square roots of 0 and 1, and cube roots of 0 and 1.

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