Generalization of Pólya's zero distribution theory for exponential polynomials, and sharp results for asymptotic growth

DOI10.1007/s40315-020-00336-7zbMath1476.30116arXiv1905.08919OpenAlexW3045914645WikidataQ115600672 ScholiaQ115600672MaRDI QIDQ2048970

Zhi-Tao Wen, Janne Heittokangas

Publication date: 24 August 2021

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08919

zbMATH Keywords

zero distributionexponential polynomials

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Dual exponential polynomials and a problem of Ozawa ⋮ Dirichlet series satisfying a Riemann type functional equation and sharing one set ⋮ On meromorphic solutions of non‐linear differential equations of Tumura–Clunie type ⋮ Value distribution of exponential polynomials and their role in the theories of complex differential equations and oscillation theory ⋮ A continuous transition from \(\mathcal{E} \)-sets to \(R\)-sets and beyond ⋮ On a result of Bao-Qin Li concerning Dirichlet series and shared values ⋮ The asymptotic number of zeros of exponential sums in critical strips ⋮ Oscillation of solutions of LDE's in domains conformally equivalent to unit disc

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