学术
正特征函数域上两类形式幂级数的超越性
陈修梅[1,2] 胡慧[3]
[1]山东外事翻译职业学院经管学院,山东济南250100 [2]武汉大学数学与统计学院,湖北武汉430072 [3]南昌航空大学数学与信息科学学院,江西南昌330063
国际标准刊号：ISSN 0255-7797
国内统一刊号：CN 42-1091
摘 要:
本文研究了J．-Y．Yao引入的两类形式幂级数．J．-Y．Yao利用其建立的超越性判别准则，得到了它们在函数域上超越的充分必要条件，而本文将利用一种更为简单直接的方法来证明上述结论．[著者文摘]
文章出处:
《数学杂志》-2008年28卷2期 -227-232页
Journal of Mathematics
文献标识码:
A
文章编号:
0255-7797（2008）02-0227-06
[参考文献]
TRANSCENDENCE OF TWO TYPES OF FORMAL POWER SERIES OVER FUNCTION FIELD WITH POSITIVE CHARACTERISTIC
CHEN Xiu-mei, HU Hui （1. Institute of Economincs and Management, Shandong International Institute of Translation, Jinan 250100, China;2. School of Math. and Statistics, Wuhan University , Wuhan 430072, China;3. College of Math. and In for. Sci. ,Nanchang Hangkong University, Nanchang 330063 ,China）
Abstract:
In this paper, we consider two types of formal power series introduced by J. -Y. Yao, who obtained, by using a transcendental criterion established by himself, a sufficient and necessary condition such that the two series in question are transcendental. In this work we shall use a simpler and more direct method to give a new proof of the above results.[著者文摘]
Key words:
transcendence; function field; formal power series
收稿日期: 2005-09-06
修订日期: 2006-04-19
基金资助:
国家自然科学基金资助项目（60472041）.致谢：感谢姚家燕教授对我们的指导和帮助.
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