TRANSCENDENCE AND ALGEBRAIC INDEPENDENCE OF SERIES RELATED TO STERN'S SEQUENCE

DOI10.1142/S1793042112500212zbMath1288.11070OpenAlexW2115851605MaRDI QIDQ3225623

Peter Bundschuh

Publication date: 22 March 2012

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

Full work available at URL: https://doi.org/10.1142/s1793042112500212

zbMATH Keywords

generating functionssubspace theoremMahler's methodhypertranscendencetranscendence and algebraic independenceStern sequence and polynomials

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Special sequences and polynomials (11B83) Diophantine inequalities (11J25) Transcendence (general theory) (11J81) Schmidt Subspace Theorem and applications (11J87)

Related Items (5)

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 ⋮ Algebraic independence of the generating functions of the stern polynomials and their twisted analogues ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES ⋮ On certain Mahler functions

Cites Work

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• Mahler functions and transcendence
• A POLYNOMIAL ANALOGUE TO THE STERN SEQUENCE
• Stern's Diatomic Sequence 0,1,1,2,1,3,2,3,1,4,…
• Stern polynomials and double-limit continued fractions
• THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE
• Non-converging continued fractions related to the Stern diatomic sequence

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