On the complex conjugate zeros of the partial theta function

DOI10.1134/S0016266319020102zbMath1434.30003arXiv1902.01726OpenAlexW2963336031WikidataQ127449640 ScholiaQ127449640MaRDI QIDQ2278750

Vladimir Petrov Kostov

Publication date: 10 December 2019

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01726

zbMATH Keywords

partial theta functionJacobi theta functionJacobi triple product

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (2)

A domain free of the zeros of the partial theta function ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022

Cites Work

• On the zeros of a partial theta function
• The leading root of the partial theta function
• A separation in modulus property of the zeros of a partial theta function
• On power series having sections with only real zeros
• Partial theta functions and mock modular forms as \(q\)-hypergeometric series
• Hardy-Petrovitch-Hutchinson's problem and partial theta function
• On a partial theta function and its spectrum
• Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters
• Asymptotic expansions of certain partial theta functions
• Partial Theta Functions. I. Beyond the Lost Notebook
• A domain containing all zeros of the partial theta function
• On Regularised Quantum Dimensions of the Singlet Vertex Operator Algebra and False Theta Functions
• Ramanujan's Lost Notebook

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