Thursday, January 20, 2011

Quadratic residues modulo n

Lots of patterns regarding squares. In the following graph we plot dots if y is a quadratic residue modulo
x. Patterns get more striking when this is extended above the diagonal y=x.
alt : It seems your browser does not support SVG. Consider using Google Chrome or another SVG enabled browser, I don'know why this fails in IE....

How many squares are the modulo a number? Next graph:

alt : It seems your browser does not support SVG. Consider using Google Chrome or another SVG enabled browser, I don'know why this fails in IE....

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