A generalization of the Erdos-Kac theorem and its applications

被引:9
作者
Liu, YR [1 ]
机构
[1] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
来源
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2004年 / 47卷 / 04期
关键词
D O I
10.4153/CMB-2004-057-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We axiomatize the main properties of the classical Erdos-Kac Theorem in order to apply it to a general context, We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.
引用
收藏
页码:589 / 606
页数:18
相关论文
共 16 条
[1]   ON CENTRAL LIMIT THEOREM FOR PRIME DIVISOR FUNCTION [J].
BILLINGSLEY, P .
AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (02) :132-+
[2]   The gaussian law of errors in the theory of additive number theoretic functions [J].
Erdos, P ;
Kac, M .
AMERICAN JOURNAL OF MATHEMATICS, 1940, 62 :738-742
[3]  
Feller W., 1966, INTRO PROBABILITY TH, V2
[4]  
Halberstam H., 1956, J. London Math. Soc., V31, P14
[5]  
Halberstam H., 1955, J. London Math. Soc., V30, P43
[6]  
Halberstam H., 1956, J. London Math. Soc., V31, P1, DOI [10.1112/jlms/s1-31.1.1, DOI 10.1112/JLMS/S1-31.1.1]
[7]  
Hardy G., 1917, Quart. J. Math, V48, P76
[8]  
KNOPFMACHER J., 1979, LECT NOTES PURE APPL, V50
[9]   On the class number of binary quadratic forms of negative discriminants. [J].
Landau, E .
MATHEMATISCHE ANNALEN, 1903, 56 :0671-0676
[10]  
Lang S., 1954, AM J MATH, V76, P819