摘要: 
This paper treats Dirichlet series from the point of view developed in [1],[2].Especially it is found that the kernal function is closely related with the Riemann Zetafunction.
                                                        
                            
                            																											
											
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                                        															丁夏畦, 罗佩珠. WEAK CONVERGENCE OF SOME DIRICHLET SERIES[J]. 数学物理学报(英文版), 2001, 21(4): 433-439.	
																																									     												                                                                                                        	                                                           DING Xia-Qi, LUO Pei-Zhu. WEAK CONVERGENCE OF SOME DIRICHLET SERIES[J]. Acta mathematica scientia,Series B, 2001, 21(4): 433-439.