Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let p be an odd prime and a be a quadratic residue of p. Prove that if p = ±1 (mod 8), then 2a is also a
quadratic residue of p; if p = ±3 (mod 8), then 2a is a quadratic nonresidue of p.
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Transcribed Image Text:Let p be an odd prime and a be a quadratic residue of p. Prove that if p = ±1 (mod 8), then 2a is also a quadratic residue of p; if p = ±3 (mod 8), then 2a is a quadratic nonresidue of p.
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