Transcendence and the Carlitz-Goss gamma function

DOI10.1006/jnth.1997.2104zbMath0874.11042OpenAlexW2035221903MaRDI QIDQ1355100

Michel Mendès France, Jia-Yan Yao

Publication date: 19 May 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2104

zbMATH Keywords

Carlitz functioncontinuous gamma functiontranscendental values

Mathematics Subject Classification ID

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

Related Items

How to prove that a sequence is not automatic ⋮ Algebraic independence of arithmetic gamma values and Carlitz zeta values ⋮ Some hypergeometric functions in positive characteristic and 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.

Cites Work

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• Gamma functions for function fields and Drinfeld modules
• Transcendence of the Carlitz-Goss gamma function at rational arguments
• Transcendence of gamma values for \(\mathbb{F}_ q [T\)]
• Sur la transcendance de la série formelle Π
• Suites algébriques, automates et substitutions