No zeros of the partial theta function in the unit disk
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913612104204288 |
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| author | Kostov, Vladimir Petrov |
| author_facet | Kostov, Vladimir Petrov |
| contents | We prove that for $q\in (-1,0)\cup (0,1)$, the partial theta function $θ(q,x):=\sum _{j=0}^{\infty}q^{j(j+1)/2}x^j$ has no zeros in the closed unit disk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_09400 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | No zeros of the partial theta function in the unit disk Kostov, Vladimir Petrov Classical Analysis and ODEs We prove that for $q\in (-1,0)\cup (0,1)$, the partial theta function $θ(q,x):=\sum _{j=0}^{\infty}q^{j(j+1)/2}x^j$ has no zeros in the closed unit disk. |
| title | No zeros of the partial theta function in the unit disk |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2208.09400 |