Algebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base field

DOI10.1016/j.jnt.2017.08.026zbMath1420.11106OpenAlexW2759744112MaRDI QIDQ1679628

Akinari Goto, Taka-aki Tanaka

Publication date: 21 November 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.026

zbMATH Keywords

positive characteristicalgebraic independenceMahler functions

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85)

Related Items

Becker’s conjecture on Mahler functions

Cites Work

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• Algebraic independence of Mahler functions and their values
• Mahler functions and transcendence
• Determination of algebraic relations among special zeta values in positive characteristic
• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• Indépendance algébrique de différents π