A theorem on irrationality of infinite series and applications

DOI10.4064/aa-63-4-313-323zbMath0770.11036OpenAlexW944146490MaRDI QIDQ4695195

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Publication date: 17 June 1993

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206523

zbMATH Keywords

inequalitiesrecurrence relationirrationalityrationalityequalitiesOppenheim expansionssum of reciprocalsconvergent infinite series

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (10)

A theorem on transcendence of infinite series. II ⋮ A criterion for linear independence of series ⋮ An extension of a result of Sierpiński ⋮ Irrationality of quick convergent series ⋮ Linearly unrelated sequences and problem of Erdős ⋮ Transcendental series of reciprocals of Fibonacci and Lucas numbers ⋮ Irrational rapidly convergent series ⋮ Sequence transformations in proofs of irrationality of some fundamental constants ⋮ Irrationality and transcendence of alternating series via continued fractions ⋮ On the rationality of Cantor and Ahmes series

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