A note on the transcendence of infinite products

DOI10.1007/s10587-012-0053-2zbMath1265.11078OpenAlexW2062498127MaRDI QIDQ4898747

Ondřej Kolouch, Jan Štěpnička, Simona Pulcerová, Jaroslav Hančl

Publication date: 2 January 2013

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143013

zbMATH Keywords

transcendenceinfinite product

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (3)

Unnamed Item ⋮ On simultaneous approximation of algebraic numbers ⋮ Irrationality of infinite series

Cites Work

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• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• Transcendence of the values of infinite products in several variables
• A transcendence criterion for infinite products
• Linearly unrelated sequences and problem of Erdős
• On the Lebesgue measure of the expressible set of certain sequences
• On the irrationality of a certain multivariate infinite product
• Evaluation of infinite series involving special products and their algebraic characterization
• ON THE INFINITE PRODUCTS DERIVED FROM THETA SERIES I

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