On the irrationality of infinite series of reciprocals of square roots

DOI10.1216/RMJ-2017-47-5-1525zbMath1382.11046MaRDI QIDQ2409610

Radhakrishnan B. Nair, Jaroslav Hančl

Publication date: 12 October 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1506045623

zbMATH Keywords

infinite seriessquare rootsIrrationality

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (3)

Algebraic degree of series of reciprocal algebraic integers ⋮ Transcendency of some constants related to integer sequences of polynomial iterations ⋮ Arithmetic properties of series of reciprocals of algebraic integers

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