Mahler functions and transcendental numbers

DOI10.1090/TRANS2/172/02zbMath0858.11037OpenAlexW4206167974MaRDI QIDQ5286192

Kumiko Nishioka

Publication date: 29 June 1993

Published in: American Mathematical Society Translations: Series 2 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/172/02

zbMATH Keywords

surveyzero estimatestranscendence degreesystems of functional equationsLindemann-Weierstrass theoremgap power seriesMahler functionstranscendental numbers

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

Related Items (6)

\(q\)-additive functions and algebraic independence ⋮ Unnamed Item ⋮ \(p\)-adic transcendence and \(p\)-adic transcendence measures for the values of Mahler type functions ⋮ Unnamed Item ⋮ THE THEOREM OF JENTZSCH–SZEGŐ ON AN ANALYTIC CURVE: APPLICATION TO THE IRREDUCIBILITY OF TRUNCATIONS OF POWER SERIES ⋮ Simultaneous approximations of some numbers connected with the exponential function by elements of the field \(Q_ 1\)

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