On a partial theta function and its spectrum

DOI10.1017/S0308210515000591zbMath1403.11036arXiv1504.05798OpenAlexW2963515317MaRDI QIDQ2832280

Vladimir Petrov Kostov

Publication date: 10 November 2016

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/1504.05798

zbMATH Keywords

asymptoticsspectrumpartial theta function

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27)

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 ⋮ Partial theta function and separation in modulus property of its zeros ⋮ On the growth of Artin-Tits monoids and the partial theta function ⋮ Hutchinson's intervals and entire functions from the Laguerre-Pólya class ⋮ 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 ⋮ On the entire functions from the Laguerre-Pólya I class having the increasing second quotients of Taylor coefficients ⋮ On the complex conjugate zeros of the partial theta function ⋮ 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 ⋮ On the number of real zeros of real entire functions with a non-decreasing sequence of the second quotients of Taylor coefficients

Cites Work

• On the zeros of a partial theta function
• The leading root of the partial theta function
• Asymptotics of the spectrum of partial theta function
• Partial theta functions and mock modular forms as \(q\)-hypergeometric series
• Hardy-Petrovitch-Hutchinson's problem and partial theta function
• On the spectrum of a 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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