Visualizing modular forms
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866909704054112256 |
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| author | Lowry-Duda, David |
| author_facet | Lowry-Duda, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_05234 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Visualizing modular forms Lowry-Duda, David Graphics Number Theory 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. |
| title | Visualizing modular forms |
| topic | Graphics Number Theory |
| url | https://arxiv.org/abs/2002.05234 |