Transcendence of the Carlitz-Goss gamma function at rational arguments

DOI10.1006/JNTH.1996.0126zbMath0862.11039OpenAlexW2034928777MaRDI QIDQ1126377

Jean-Paul Allouche

Publication date: 26 May 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0126

zbMATH Keywords

transcendenceCarlitz moduleDrinfeld modulesfactorialCarlitz exponentialCarlitz-Goss gamma functions

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence (general theory) (11J81)

Related Items (10)

How to prove that a sequence is not automatic ⋮ Algebraic independence of arithmetic gamma values and Carlitz zeta values ⋮ Transcendence and the Carlitz-Goss gamma function ⋮ Some hypergeometric functions in positive characteristic and transcendence ⋮ Automata methods in transcendence ⋮ Automata and transcendence in positive characteristic ⋮ Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields ⋮ Hypergeometric functions for function fields and transcendence ⋮ Transcendence in positive characteristic and special values of hypergeometric functions ⋮ Some transcendental functions over function fields with positive characteristic.

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