Computer Visualization of the Riemann Zeta Function
Résumé
Various representations of the multi-dimensional Riemann zeta function ζ(s) are provided herein. The representations include 3D plots in the xyz space as well as contour maps where the third dimension is represented by color or iso-line contours. Some polar projections of the zeta function are shown near some non-trivial zeros of the zeta function. 3D polar contour maps can be a powerful tool in the analysis of the Riemann zeta function. For example, shape orientation in the 3D polar contour map projections can be used to provide a location of consecutive zeros.
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