Visualizing modular forms
Graphics
2025-07-28 v2 Number Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2002.05234,
title = {Visualizing modular forms},
author = {David Lowry-Duda},
journal= {arXiv preprint arXiv:2002.05234},
year = {2025}
}
Comments
20 pages, many figures, after first major set of revisions