A note on the Erdös minimal area problem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911724059230208 |
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| author | Ghosh, Subhajit Ramachandran, Koushik |
| author_facet | Ghosh, Subhajit Ramachandran, Koushik |
| contents | We answer a question of Erdös, Herzog, and Piranian on the minimal area of polynomial lemniscates when all the zeros of the polynomial are constrained to lie on a compact set K whose logarithmic capacity is strictly larger than 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03036 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on the Erdös minimal area problem Ghosh, Subhajit Ramachandran, Koushik Complex Variables Classical Analysis and ODEs Metric Geometry 30C10, 31A15 We answer a question of Erdös, Herzog, and Piranian on the minimal area of polynomial lemniscates when all the zeros of the polynomial are constrained to lie on a compact set K whose logarithmic capacity is strictly larger than 1. |
| title | A note on the Erdös minimal area problem |
| topic | Complex Variables Classical Analysis and ODEs Metric Geometry 30C10, 31A15 |
| url | https://arxiv.org/abs/2604.03036 |