Conjectures and theorems in the theory of entire functions
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Data
2000-01-01
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Baltzer Sci Publ Bv
Resumo
Motivated by the recent solution of Karlin's conjecture, properties of functions in the Laguerre-Polya class are investigated. The main result of this paper establishes new moment inequalities fur a class of entire functions represented by Fourier transforms. The paper concludes with several conjectures and open problems involving the Laguerre-Polya class and the Riemann xi -function.
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Palavras-chave
Laguerre-Polya class, Karlin's conjecture, Turan inequalities, double Turan inequalities, Fourier transform, admissible kernel, Riemann hypothesis, de Bruijn-Newman constant
Como citar
Numerical Algorithms. Bussum: Baltzer Sci Publ Bv, v. 25, n. 1-4, p. 109-122, 2000.