Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method

DOI10.1007/978-3-319-28203-9_6zbMath1407.11090OpenAlexW2564725306MaRDI QIDQ5275960

Peter Bundschuh, Keijo Väänänen

Publication date: 14 July 2017

Published in: From Arithmetic to Zeta-Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-28203-9_6

zbMATH Keywords

Mahler's methodalgebraic independence of functions

Mathematics Subject Classification ID

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

Related Items (1)

Becker’s conjecture on Mahler functions

Cites Work

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• Algebraic independence of reciprocal sums of binary recurrences
• A note on differentially algebraic solutions of first order linear difference equations
• Algebraic function solutions of a certain class of functional equations
• A class of hypertranscendental functions
• Mahler functions and transcendence
• Remarks on a paper by W. Schwarz
• Extension of Some Theorems of W. Schwarz
• An inductive method for proving the transcendence of certain series
• ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES
• Remarks on the Irrationality and Transcendence of Certain Series.

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