Critical points of real entire functions and a conjecture of Pólya

DOI10.1090/S0002-9939-96-03083-3zbMath0848.30019OpenAlexW1528064814WikidataQ123159835 ScholiaQ123159835MaRDI QIDQ4875531

Young-One Kim

Publication date: 24 April 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03083-3

zbMATH Keywords

Laguerre-Pólya classPólya-Wiman conjectureFourier critical point

Mathematics Subject Classification ID

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

De Bruijn's question on the zeros of Fourier transforms ⋮ A note on the zeros of Jensen polynomials ⋮ Differentiation evens out zero spacings ⋮ On the distribution of zeros of derivatives of the Riemann \(\xi \)-function ⋮ On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture ⋮ Jensen polynomials are not a plausible route to proving the Riemann hypothesis

Cites Work

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• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• On the zeros of the derivatives of real entire functions and Wiman's conjecture
• A Proof of the Polya-Wiman Conjecture
• Reality of the Zeros of An Entire Function and Its Derivatives
• Zeros of Derivatives of Entire Functions
• Derivatives of Entire Functions and A Question of Polya
• Derivatives of Entire Functions and a Question of Polya. II
• On a theorem of Craven, Csordas and Smith
• On the zeros of the derivatives of a function and its analytic character