Carlitz \(\zeta\)-function and automata

DOI10.5802/jtnb.78zbMath0784.11025OpenAlexW2315711533MaRDI QIDQ1311043

Valérie Berthé

Publication date: 9 March 1994

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1993__5_1_53_0

zbMATH Keywords

transcendenceCarlitz moduleDrinfeld moduleszeta valuesCarlitz zeta function

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence (general theory) (11J81)

Related Items (4)

How to prove that a sequence is not automatic ⋮ Automata methods in transcendence ⋮ Transcendence of \(L(1,\chi_{s})/\Pi\) and automata ⋮ Subword complexity and finite characteristic numbers

Cites Work

• Unnamed Item
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• Transcendence and special zeta values in characteristic p
• Transcendence of the values of the Carlitz zeta function by Wade's method
• Certain quantities transcendental over \(\text{GF}(p^n,x)\)
• Sur la transcendance de la série formelle Π
• Suites algébriques, automates et substitutions

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