Algebraic independence of arithmetic gamma values and Carlitz zeta values

DOI10.1016/j.aim.2009.09.013zbMath1268.11100arXiv0909.0096OpenAlexW2102110176WikidataQ60118180 ScholiaQ60118180MaRDI QIDQ846977

Matthew A. Papanikolas, Jing Yu, Chieh-Yu Chang, Dinesh S. Thakur

Publication date: 16 February 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0096

zbMATH Keywords

\(t\)-motivesAlgebraic independenceGamma valuesZeta values

Mathematics Subject Classification ID

Drinfel'd modules; higher-dimensional motives, etc. (11G09) Transcendence theory of Drinfel'd and (t)-modules (11J93) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items

Algebraic relations among Goss’s zeta values on elliptic curves, Frobenius difference equations and difference Galois groups, Automata methods in transcendence, Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields, A note on a refined version of Anderson-Brownawell-Papanikolas criterion, Hypergeometric functions for function fields and transcendence, Transcendence in positive characteristic and special values of hypergeometric functions, Obituary of Alan Baker FRS

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