A transcendence criterion in positive characteristic and applications

DOI10.1016/J.CRMA.2006.10.023zbMath1156.11028OpenAlexW2094699085MaRDI QIDQ858918

Jia-Yan Yao

Publication date: 11 January 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.10.023

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91)

Related Items (2)

Automata methods in transcendence ⋮ Hypergeometric functions for function fields and transcendence

Cites Work

• Finite automata in number theory
• Some transcendental functions over function fields with positive characteristic.
• Irrationality measures and transcendence in positive characteristic
• A transcendency criterion in prime characteristic
• Transcendental numbers over certain function fields
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Certain quantities transcendental over \(\text{GF}(p^n,x)\). II
• Two types of function field transcendental numbers
• Critères de non-automaticité et leurs applications
• Note sur un article de Sharif et Woodcock
• Sur la transcendance de la série formelle Π
• Sur le développement en fraction continue de la série de Baum et Sweet
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