Answer to Question #98939 in Combinatorics | Number Theory for Dorothy

Question

Let a be a positive integer and let p be an odd prime number that does not divide a. Prove that
(a/p) + (2a/p) + (3a/p) + ((p-1)a/p) = 0

We say that (n/p) denotes the Legendre symbol here.

Answer 1

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