On criteria for algebraic independence of collections of functions satisfying algebraic difference relations

DOI10.7494/OpMath.2017.37.3.457zbMath1405.12003MaRDI QIDQ5737976

Hiroshi Ogawara

Publication date: 31 May 2017

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

algebraic independencedifference algebra\(q\)-polylogarithm functionssystems of algebraic difference equationsVignéras' multiple gamma functions

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Additive difference equations (39A10) Difference equations, scaling ((q)-differences) (39A13) Higher logarithm functions (33B30) Difference algebra (12H10) Applications of difference equations (39A60)

Cites Work

• Unnamed Item
• Multiple \(q\)-zeta values
• On Schanuel's conjectures
• Hypertranscendance des systèmes aux différences diagonaux

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