Irrationality of \(\zeta(s)\) for \(s\leq q\) in certain Drinfeld modules of rank 1

DOI10.5802/JTNB.84zbMath0784.11026OpenAlexW2003987835MaRDI QIDQ1311052

Gilles Damamme

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_139_0

zbMATH Keywords

Drinfeld modulesirrationalityzeta valuesCarlitz zeta function

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Irrationality; linear independence over a field (11J72)

Cites Work

• Irrationality measures of Carlitz zeta values in characteristic \(p\)
• Transcendence and special zeta values in characteristic p
• Transcendence and Drinfeld modules
• Transcendence of the values of the Carlitz zeta function by Wade's method
• Algebraic function fields with small class number
• ELLIPTIC MODULES
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