Conjectures and theorems in the theory of entire functions

被引：9
|
作者：
Csordas, G
Dimitrov, DK
机构：
[1] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA
[2] UNESP, IBILCE, DCCE, BR-15054000 Sao Jose do Rio Preto, SP, Brazil
来源：
NUMERICAL ALGORITHMS | 2000年 / 25卷 / 1-4期
关键词：
Laguerre-Polya class; Karlin's conjecture; Turan inequalities; double Turan inequalities; Fourier transform; admissible kernel; Riemann hypothesis; de Bruijn-Newman constant;
D O I：
10.1023/A:1016604906346
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：109 / 122
页数：14
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