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《Journal of Hangzhou Teachers College》 1996-03
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AN IMPROVEMENT ON THE UPPER BOUND FORTHE NUMBER OF MULTIPLICATIVE PARTITIONSOF A NATURAL NUMBER

Chen Xiaoxia (Department of Mathematies)  
Ler f(n)denote the number of factorizations of the natural number n into factors larger than 1.not considering the order of the factors. In this paper we prove the following result.For any natural number n, which the n≥1025.We have f(n)n/log2n.
【CateGory Index】: O156
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Chen Xioxia (Department of Mathematics);A NOTE OF THE UPPER BOUND FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF NATURAL NUMBER[J];Journal of Hangzhou Teachers College;1994-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Yuan Pingzhi(Department of Mathematics and Mechanics,Changsha Railway Institute,Changsha, 410015);ON A CONJECTURE OF THE NUMBER OF MULTIPLICATIVE PARTITIONS OF NATURAL NUMBER[J];JOURNAL OF HUNAN EDUCATIONAL INSTITUTE;1996-05
2 YangYaochi (Spare-Time University of Putou District in Shanghai) Chen Zhengyi (Dept.of Mathematics and Mechanics);A Result on the Number of Multiplicative Partitions of the Natural Number[J];;1990-03
3 Chen Xiaoxia (Department of Mathematics);ON A CONJECTURE FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER[J];Journal of Hangzhou Teachers College;1991-03
4 Chen Xioxia (Department of Mathematics);A NOTE OF THE UPPER BOUND FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF NATURAL NUMBER[J];Journal of Hangzhou Teachers College;1994-06
5 Chen Xiaoxia(Department of Mathematics);AN IMPROVEMENT ON THE UPPER BOUND FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER[J];Journal of Hangzhou Teachers College;1996-03
6 Chen Wenli(Southwest Normal University,Chongqing 630715);THE NUMEBR OF MULTIPLICATIVE PARTITION OF ODD NUMBERS[J];JOURNAL OF SICHUAN TEACHERS COLLEGE(NATURAL SCIENCE);1995-01
7 Cao Huizhong (Dept.of Math.,Shandong Univ.,Jinan);THE MEAN VALUE OF THE FUNCTION OF MULTIPLICATIVE PARTITIONS[J];Journal of Shandong University;1992-02
8 Cao Hui-zhong (Department of Mathematics, Shandong University, Jinan, Shangdong, 250100, P. R. China);On the Number of Essentially Different Factorizations of a Positive Integer[J];Advances In Mathematics;2003-04
9 Cao Hui Zhong (Shandong University);ON THE ENUMERATION FUNCTION OF MULTIPLICATIVE PARTITIONS[J];Journal of Mathematics;1991-02
10 CHEN LIANGQUN(Southwest-China Teachers University);TWO CONJECTURES OF THE NUMBER OF MULTIPLICATIVE PARTITIONS[J];Journal of Southwest China Normal University(Natural Science);1988-03
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 Chen Xiaoxia (Department of Mathematics);ON A CONJECTURE FOR THE NUMBER OF MULTIPLICATIVE PARTITIONS OF A NATURAL NUMBER[J];Journal of Hangzhou Teachers College;1991-03
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