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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.14966 |
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| _version_ | 1866916797685432320 |
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| author | Brooks, Jennifer Jenkins, Mary Liechty, Samuel Parker, Kaden Perez, Katherine Robison, Dallin Sampson, Eli Wilson, Matthew G. |
| author_facet | Brooks, Jennifer Jenkins, Mary Liechty, Samuel Parker, Kaden Perez, Katherine Robison, Dallin Sampson, Eli Wilson, Matthew G. |
| contents | We investigate the zeros of two one-parameter families of harmonic functions and describe how the number of zeros depends on the parameter. Our functions have the property that all zeros lie on certain rays in the complex plane and thus we are able to use real-variable techniques to count the zeros on each ray. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14966 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Using Real-Variable Techniques to Study Zeros of Complex-Valued Harmonic Functions Brooks, Jennifer Jenkins, Mary Liechty, Samuel Parker, Kaden Perez, Katherine Robison, Dallin Sampson, Eli Wilson, Matthew G. Complex Variables 30C15 We investigate the zeros of two one-parameter families of harmonic functions and describe how the number of zeros depends on the parameter. Our functions have the property that all zeros lie on certain rays in the complex plane and thus we are able to use real-variable techniques to count the zeros on each ray. |
| title | Using Real-Variable Techniques to Study Zeros of Complex-Valued Harmonic Functions |
| topic | Complex Variables 30C15 |
| url | https://arxiv.org/abs/2506.14966 |