Work

No zeros of the partial theta function in the unit disk

Year: 2024

Type: article

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.

Source: Annual of Sofia University St Kliment Ohridski Faculty of Mathematics and Informatics

DOI: 10.60063/gsu.fmi.111.129-137

Author: Vladimir Kostov

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405002967

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