THE TRANSCENDENCE OF SERIES RELATED TO STERN'S DIATOMIC SEQUENCE

DOI10.1142/S1793042110002958zbMath1250.11015OpenAlexW2067003407MaRDI QIDQ5306075

Michael Coons

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1142/s1793042110002958

zbMATH Keywords

generating functionstranscendenceMahler's methodStern sequence

Mathematics Subject Classification ID

Recurrences (11B37) Transcendence theory of other special functions (11J91) Special sequences and polynomials (11B83)

Related Items (5)

Transcendence tests for Mahler functions ⋮ TRANSCENDENCE AND ALGEBRAIC INDEPENDENCE OF SERIES RELATED TO STERN'S SEQUENCE ⋮ Algebraic independence of the generating functions of Stern's sequence and of its twist ⋮ Algebraic independence of the generating functions of the stern polynomials and their twisted analogues ⋮ INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS

Cites Work

• Transcendence of formal power series with rational coefficients
• Mahler functions and transcendence
• An extension of Stern's diatomic series
• A POLYNOMIAL ANALOGUE TO THE STERN SEQUENCE

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