Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Suppose p is a prime such that p ≡ 1 (mod 4). Show that the sum of the quadratic residues mod p lying in {1, . . . , p − 1} is given by (p(p−1)/4). Hint: Pair each quadratic residue awith its additive inverse −a.

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