Topology of Numbers · Problem 6.4.3

The Class Group for Quadratic Forms — Allen Hatcher

Mathematics — Number Theory · legendre-symbol-minus-one-lattice-points

Problem

Show that the calculation of the Legendre symbol

\left(\frac{-1}{p}\right)

can also be obtained using the method in the proof of quadratic reciprocity involving counting certain lattice points in a

(p-1) \times p

rectangle.