Sunday, March 27, 2011

Fractal Geography of the Riemann Zeta Function

I have just completed a ground breaking monograph exploding all the wonderful, puzzling, enigmatic and fascinating features of the fractal and chaotic dynamics of the Riemann Zeta function.

The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathematics and the Riemann Zeta function takes the prize for the most complicated and enigmatic function. Here we elucidate the spectrum of Mandelbrot and Julia sets of Zeta, to unearth the geography of its chaotic and fractal diversities, combining these two extremes into one intrepid journey into the deepest abyss of complex function space.