Numerical Algorithms

, Volume 25, Issue 1, pp 109–122

Conjectures and theorems in the theory of entire functions

  • George Csordas
  • Dimitar K. Dimitrov
Article

DOI: 10.1023/A:1016604906346

Cite this article as:
Csordas, G. & Dimitrov, D.K. Numerical Algorithms (2000) 25: 109. doi:10.1023/A:1016604906346

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.

Laguerre–Pólya class Karlin's conjecture Turán inequalities double Turán inequalities Fourier transform admissible kernel Riemann hypothesis de Bruijn–Newman constant 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • George Csordas
    • 1
  • Dimitar K. Dimitrov
    • 2
  1. 1.Department of MathematicsUniversity of HawaiiHonoluluUSA
  2. 2.DCCE, IBILCE, UNESPSão José do Rio Preto, SPBrazil

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