Complex Function

In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane.

How to read the visualization:

• Hue (color): Represents the argument (angle) of the output
• Brightness: Represents the magnitude (size) of the output
• Contour lines: Show where magnitude or phase change rapidly

The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics.