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## Quadratic Re-ciprocity (2010?)

(to the tune of *So Happy Together*)

p on q, and q on p

I'm awed by residues and re-ciprocity

The crowning jewel is p on q, and q on p

So happy together!

Refrain:

I can't see me lovin' nobody but thee, my q on p

I can't see me lovin' nobody but you, my p on q.

p on q, and q on p

When both of them are of the form, 4k+3

Take minus 1 for p on q, and q on p

So happy together!

Refrain

The Law of Quadratic Reciprocity: (p/q)*(q/p) = -1^[(p-1)(q-1)/4]