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On unique factorizability of thep-th power composite with a prime entire function

 

作者: Song Guodong,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1996）
卷期: Volume 28, issue 3  

页码: 193-199

 

ISSN:0278-1077

 

年代: 1996

 

DOI:10.1080/17476939608814850

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30D35

 

数据来源: Taylor

 

摘要:

Letf0,g0be prime entire functions andpa prime number.Let.F=zpchampfng0andG=f0ˆzpsuch thatGis pseudo-prime. Then any non-trivial factorizationsF=fˆg orG=fˆg imply.either.f=λˆzporg=λˆzpwith A linear polynomial λ(whenp=2,g0 is also assumed to be non periodic).

 

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