Let p be a prime number with p = 1 mod 4. Prove that sum(from a=1 to (p-1)/2) of (a over p) =0 where (a over p) denotes the legendre symbol.
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Originally Posted by mndi1105 Let p be a prime number with p = 1 mod 4. Prove that sum(from a=1 to (p-1)/2) of (a over p) =0 where (a over p) denotes the legendre symbol. We know that . Therefore, .... [1] However, Therefore from [1] we get,
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