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Since Gauss firstly proved quadratic reciprocity law in 1796, there are almost 200 proves about it nowadays.With the great zeal to quadratic residue theorem, th
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Since Gauss firstly proved quadratic reciprocity law in 1796, there are almost 200 proves about it nowadays.With the great zeal to quadratic residue theorem, there are more and more applications going through many branches of mathematics.For example, the (4.4)-Ramsey graph is obtained by regarding the vertices as elements of the field of integers modulo 17, and joining two vertices if their difference is quadratic residue of 17 (either 1, 2, 4, 8, 9, 13, 15 or 16).
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