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Irrationality Measures and Transcendence in Positive Characteristic

โœ Scribed by B. Demathan

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
869 KB
Volume
54
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

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 (\zeta(s) / \Pi^{s}) (with an effective measure) for particular values of (s), where (\zeta(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)). 1995 Academic Press. Inc.

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