Irrationality Measures and Transcendence in Positive Characteristic
Irrationality Measures and Transcendence in Positive Characteristic
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DOI：
10.1006/jnth.1995.1104
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发表时间：
1995-09
影响因子：
0.7
通讯作者：
B. Demathan
中科院分区：
文献类型：
--
作者：
B. Demathan
摘要我们给出了阳性特征的新标准。 S，其中ζ是Carlitz Zeta值。在k（t）上。
Abstract We give a new criterion of transcendence in positive characteristic. This criterion is related to irrationality measure. It applies to give a new proof of the transcendency of ζ( s )/Π s (with an effective measure) for particular values of s , where ζ( s ) is a Carlitz zeta value. The criterion also applies to new results, for instance the transcendency of some polynomial combinations of such quantities. The methods are elementary, and, essentially, use at once the degree and the order on K ( T ).