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arxiv: 1512.00896 · v1 · pith:7EYQEXUGnew · submitted 2015-12-02 · 🧮 math.NT

Sums of Quadratic residues and nonresidues

classification 🧮 math.NT
keywords quadraticcongruentmodulononresiduesresiduesanalogouscaseequals
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It is well known that when a prime $p$ is congruent to 1 modulo 4, the sum of the quadratic residues equals the sum of the quadratic nonresidues. In this note we give analogous results for the case where $p$ is congruent to 3 modulo 4.

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