Wednesday, February 18, 2009

Distribution of the quadratic residues and nonresidues of the Fibonacci numbers modulo a prime p

I was just curious to visualize a plot of the cumulative sum of the sequence of quadratic symbols of the Fibonacci numbers modulo p (p - prime) within a period of that sequence. Here it is, for p=2011. These graphs stimulate the students' interest in deeper mathematical topics. They may be seen as useful educational tools.