| Title | No zeros of the partial theta function in the unit disk |
| Publication Type | Journal Article |
| Year of Publication | 2024 |
| Authors | Kostov V |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 111 |
| Start Page | 129 |
| Pagination | 129-137 |
| ISSN | 1313-9215 (Print) 2603-5529 (Online) |
| Keywords | Jacobi theta function, Jacobi triple product, partial theta function |
| Abstract | We prove that for $q\in (-1,0)\cup (0,1)$, the partial theta function $\theta (q,x):=\sum _{j=0}^{\infty}q^{j(j+1)/2}x^j$ has no zeros in the closed unit disk. |
| DOI | 10.60063/GSU.FMI.111.129-137 |
| Attachment | Size |
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 111-129-137.pdf | 581.54 KB |