A domain free of the zeros of the partial theta function

The partial theta function is the sum of the series \medskip\centerline{$\displaystyle\theta (q,x):=\sum\nolimits _{j=0}^{\infty}q^{j(j+1)/2}x^j$,} \medskip\noi where $q$ is a real or complex parameter ($|q|<1$). Its name is due to similarities with the formula for the Jacobi theta function $\...

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Bibliographic Details
Main Author: V. Kostov
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2023-01-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/367
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