Open AccessMathematics
Vladimir Petrov Kostov
2022.8.19Annual of Sofia University "St. Kliment Ohridski" Faculty of Mathematics and Informatics
tlooto Summary
The partial theta function has no zeros in the closed unit disk for q ∈ (-1,0) ∪ (0,1)
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.
Citation format
KOSTOV, Vladimir Petrov. No zeros of the partial theta function in the unit disk [preprint]. arXiv, 2022. arXiv:2208.09400.