An axiomatization of Nesterenko's method and applications on Mahler functions

DOI10.1006/jnth.1994.1077zbMath0813.11043OpenAlexW2072909547MaRDI QIDQ1336053

Thomas Töpfer

Publication date: 7 June 1995

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1077

zbMATH Keywords

exponential functionMahler's methodalgebraic independence of complex numbersCayley- Chow formsfunctions satisfying functional equationsNesterenko's methodvalues at Liouville pointsvalues of Mahler's functions

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)

Related Items (5)

New aspects of transcendence ⋮ Algebraic independence of Mahler functions and their values ⋮ Quantitative generalizations of Nesterenkos's linear independence criterion ⋮ Unnamed Item ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion

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