Conjectures and theorems in the theory of entire functions
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/01/2000
|
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. |
Formato |
109-122 |
Identificador |
http://dx.doi.org/10.1023/A:1016604906346 Numerical Algorithms. Bussum: Baltzer Sci Publ Bv, v. 25, n. 1-4, p. 109-122, 2000. 1017-1398 http://hdl.handle.net/11449/36905 10.1023/A:1016604906346 WOS:000168584600010 |
Idioma(s) |
eng |
Publicador |
Baltzer Sci Publ Bv |
Relação |
Numerical Algorithms |
Direitos |
closedAccess |
Palavras-Chave | #Laguerre-Polya class #Karlin's conjecture #Turan inequalities #double Turan inequalities #Fourier transform #admissible kernel #Riemann hypothesis #de Bruijn-Newman constant |
Tipo |
info:eu-repo/semantics/article |