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A Galois-theoretic proof of the differential transcendence of the incomplete Gamma function

✍ Scribed by Arreche, Carlos E.

Book ID
120427270
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
224 KB
Volume
389
Category
Article
ISSN
0021-8693

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Transcendence of the Carlitz–Goss Gamma
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✍ Jean-Paul Allouche πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 488 KB

We show that the values of the Carlitz Goss Gamma function for F q [X] are transcendental over F q (X) for all arguments which are rational and not in N. We also show the transcendence of monomials built on the values of the Carlitz Goss Gamma function. This generalizes previous partial results due