True or False 19 (a) By the law of quadratic reciprocity, (3) = (²9). 19 (b) If a is a quadratic residue of an odd prime p, then -a is also a quadratic residue of p. (c) If abr (mod p), where r is a quadratic residue of an odd prime p, then a and b are both quadratic residues of p.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Do all three with explanation
True or False
7
19
(a) By the law of quadratic reciprocity,
(G) = (²9)
19
(b) If a is a quadratic residue of an odd prime p, then -a is also a quadratic residue of p.
(c) If abr (mod p), where r is a quadratic residue of an odd prime p, then a and b are both quadratic
residues of P.
Transcribed Image Text:True or False 7 19 (a) By the law of quadratic reciprocity, (G) = (²9) 19 (b) If a is a quadratic residue of an odd prime p, then -a is also a quadratic residue of p. (c) If abr (mod p), where r is a quadratic residue of an odd prime p, then a and b are both quadratic residues of P.
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