On the spectrum of a partial theta function

DOI10.1017/S0308210513000723zbMath1314.30009arXiv1504.00885OpenAlexW2963087966MaRDI QIDQ2935505

Vladimir Petrov Kostov

Publication date: 30 December 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00885

zbMATH Keywords

zeros of entire functionspartial theta function

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) Entire functions of one complex variable (general theory) (30D20) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (12)

On the conditions for a special entire function related to the partial theta-function and the \(q\)-Kummer functions to belong to the Laguerre-Pólya class ⋮ On entire functions from the Laguerre-Pólya I class with non-monotonic second quotients of Taylor coefficients ⋮ On the entire functions from the Laguerre-Pólya class having the decreasing second quotients of Taylor coefficients ⋮ On multiple zeros of a partial theta function ⋮ Partial theta function and separation in modulus property of its zeros ⋮ On the conditions for entire functions related to the partial theta function to belong to the Laguerre-Pólya class ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ PARTIAL INDEFINITE THETA IDENTITIES ⋮ On the entire functions from the Laguerre-Pólya I class having the increasing second quotients of Taylor coefficients ⋮ On a partial theta function and its spectrum ⋮ On a necessary condition for an entire function with the increasing second quotients of Taylor coefficients to belong to the Laguerre-Pólya class ⋮ On the closest to zero roots and the second quotients of Taylor coefficients of entire functions from the Laguerre-Pólya I class

Cites Work

• On the zeros of a partial theta function
• The leading root of the partial theta function
• Partial theta functions and mock modular forms as \(q\)-hypergeometric series
• Hardy-Petrovitch-Hutchinson's problem and partial theta function
• Asymptotic expansions of certain partial theta functions
• Partial Theta Functions. I. Beyond the Lost Notebook
• Ramanujan's Lost Notebook

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