Abstract
Motivated by the recent solution of Karlin's conjecture, properties of functions in the Laguerre–Pólya class are investigated. The main result of this paper establishes new moment inequalities for a class of entire functions represented by Fourier transforms. The paper concludes with several conjectures and open problems involving the Laguerre–Pólya class and the Riemann ξ-function.
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Csordas, G., Dimitrov, D.K. Conjectures and theorems in the theory of entire functions. Numerical Algorithms 25, 109–122 (2000). https://doi.org/10.1023/A:1016604906346
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DOI: https://doi.org/10.1023/A:1016604906346