A criterion for linear independence of series

DOI10.1216/rmjm/1181069897zbMath1061.11037OpenAlexW2032300706MaRDI QIDQ1880973

Jaroslav Hančl

Publication date: 27 September 2004

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

Full work available at URL: https://doi.org/10.1216/rmjm/1181069897

zbMATH Keywords

linear independenceseriessequence

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72)

Related Items (3)

Algebraic degree of series of reciprocal algebraic integers ⋮ ON THE TRANSCENDENCE OF CERTAIN REAL NUMBERS ⋮ Arithmetic properties of series of reciprocals of algebraic integers

Cites Work

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• Linear independence of the values of transcendental solutions of certain functional equations.
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• Linearly unrelated sequences
• Mahler functions and transcendence
• On the irrationality of \(\sum (1/(q^ n+r))\)
• The irrationality of certain infinite series
• On the irrationality of a certain 𝑞 series
• Sur les séries de nombres rationnels à convergence rapide
• A theorem on irrationality of infinite series and applications
• Algebraic independence of the values of generalized Mahler functions

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