New approach in Mahler's method.

DOI10.1515/crll.1990.407.202zbMath0694.10035OpenAlexW80650342MaRDI QIDQ3469175

Kumiko Nishioka

Publication date: 1990

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00220763X

zbMATH Keywords

transcendence degreealgebraic independenceRudin-Shapiro sequenceBaum-Sweet functionsvalues of Mahler functions

Mathematics Subject Classification ID

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

Related Items (18)

New aspects of transcendence ⋮ Algebraic independence of Mahler functions and their values ⋮ Algebraic theory of difference equations and Mahler functions ⋮ A new proof of Nishioka's theorem in Mahler's method ⋮ A height gap theorem for coefficients of Mahler functions ⋮ Méthode de Mahler en caractéristique non nulle : un analogue du théorème de Ku. Nishioka ⋮ Algebraic independence of the generating functions of Stern's sequence and of its twist ⋮ Note on the Stern-Brocot sequence, some relatives, and their generating power series ⋮ Low moments of Dirichlet series ⋮ A general theory of André's solution algebras ⋮ Mahler's method ⋮ Mahler takes a regular view of Zaremba ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Becker’s conjecture on Mahler functions ⋮ Regular extensions and algebraic relations between values of Mahler functions in positive characteristic ⋮ Algebraic independence of the power series defined by blocks of digits ⋮ Hypertranscendence and linear difference equations

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