Question:

If ab = r (modp), where r is a quadratic residue of the odd prime p, prove that a and b are both quadratic residues of p or both non-residues of p.

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- May 11th 2009, 01:42 PMcathwelchQuadratic Reciprocity/ Euler's Criterion
Question:

If ab = r (modp), where r is a quadratic residue of the odd prime p, prove that a and b are both quadratic residues of p or both non-residues of p. - May 11th 2009, 02:59 PMPaulRS
Remember that implies so that now multiple by and we have: