A Second Main Theorem on P^n for difference operator  

作　　者：WONG Pit-Mann LAW Hiu-Fai WONG Philip P.W. 

机构地区：[1]Department of Mathematics,University of Notre Dame [2]Department of Mathematics,University of Hong Kong

出　　处：《Science China Mathematics》2009年第12期2751-2758,共8页中国科学：数学（英文版）

基　　金：supported by Natural Science Foundation of USA(Grant No.DMS0713348);Research Grant Council of Hong Kong(Grant No.HKU7053/06P)

摘　　要：The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nramf(r)in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r).In this article,the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into Pn of finite order.The main result of this article is an extension of the Second Main Theorem,of Halburd and Korhonen,for meromorphic functions of finite order.Their result replaces the counting function of the ramification divisor Nramf(r)in the classical Second Main Theorem by the counting function of a finite difference divisor Npair(r).In this article,the Second Main Theorem of Halburd and Korhonen is extended to the case of holomorphic maps into Pn of finite order.

关 键 词：FINITE DIFFERENCE SECOND MAIN THEOREM FINITE order RAMIFICATION 

分 类 号：O174.52[理学—数学]