Algebraic independence of reciprocal sums of binary recurrences. II

DOI10.1007/S006050200038zbMath1020.11050OpenAlexW4234477129MaRDI QIDQ1614967

Kumiko Nishioka

Publication date: 10 September 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178766

zbMATH Keywords

algebraic independenceFredholm seriesMahler functions of two variableszero lemma for power series of several variables

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81)

Related Items (6)

Transcendence of reciprocal sums of binary recurrences ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers ⋮ Algebraic independence results related to pattern sequences in distinct \(\langle q,r \rangle\)-numeration systems ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES

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