The irrationality of certain infinite series

DOI10.1017/S0017089500006868zbMath0629.10027MaRDI QIDQ3765857

No author found.

Publication date: 1987

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

infinite seriesirrationalityFibonacci sequenceLucas sequencesums of reciprocal values

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Irrationality; linear independence over a field (11J72)

Related Items (16)

A theorem on transcendence of infinite series. II ⋮ A criterion for linear independence of series ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Irrational sums ⋮ An extension of a result of Sierpiński ⋮ Entire functions with undecidable arithmetic properties ⋮ Transcendency Results for Sums of Reciprocals of Linear Recurrences ⋮ Rational belief hierarchies ⋮ Unnamed Item ⋮ Irrationality of quick convergent series ⋮ A theorem on transcendence of infinite series ⋮ Linearly unrelated sequences and problem of Erdős ⋮ ERDŐS’ METHOD FOR DETERMINING THE IRRATIONALITY OF PRODUCTS ⋮ Irrational rapidly convergent series ⋮ On the rationality of Cantor and Ahmes series ⋮ Irrationality results for reciprocal sums of certain Lucas numbers

Cites Work

• Problems in analysis
• Unsolved problems in number theory

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