Visualizing Modular Forms
Visualizing Modular Forms
We examine several currently used techniques for visualizing complex-valued functions applied to modular forms. We plot several examples and study the benefits and limitations of each technique. We then introduce a method of visualization that can take advantage of colormaps in Python's matplotlib library, describe an implementation, and give more examples. Much of this discussion applies to general visualizations of complex-valued functions in the plane.
20 pages, many figures, after first major set of revisions
FOS: Computer and information sciences, Number Theory, FOS: Mathematics, Graphics, Number Theory (math.NT), Graphics (cs.GR)
FOS: Computer and information sciences, Number Theory, FOS: Mathematics, Graphics, Number Theory (math.NT), Graphics (cs.GR)
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