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arxiv: math/0604465 · v3 · pith:YYHDX5LJnew · submitted 2006-04-21 · 🧮 math.NT

Squares and Cubes Modulo n

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keywords cubesrootssquaresanalysesasymptoticsaveragecubemodulo
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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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