Linear and algebraic independence of functions associated to a \(q\)-zeta function

DOI10.5802/afst.1173zbMath1158.30003OpenAlexW2323564787MaRDI QIDQ959007

Jean-Paul Bézivin

Publication date: 10 December 2008

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2008_6_17_1_23_0

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Dirichlet series, exponential series and other series in one complex variable (30B50)

Cites Work

• Linear independence of \(q\)-analogues of certain classical constants
• Diophantine problems for \(q\)-zeta values
• Identities for generalized polylogarithms
• Lyndon words, polylogarithms and the Riemann \(\zeta\) function
• Linear and algebraic independence of \(q\)-zeta values
• ARITHMETICAL RESULTS ON CERTAIN MULTIVARIATE POWER SERIES

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