yellowpigs.net

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]