Measures of linear independence of values of entire transcendental solutions of certain functional equations

DOI10.1007/BF02940866zbMath0961.11022OpenAlexW2331989283MaRDI QIDQ1969672

Peter Bundschuh, Rolf Wallisser

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02940866

zbMATH Keywords

effective linear independence measureHilbert-Perron-Skolem method

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (4)

Measures of linear independence for values of entire transcendental solutions of certain functional equations. II ⋮ Linear independence of the values of \(q\)-hypergeometric series and related functions ⋮ On \(q\)-analogues of divergent and exponential series ⋮ Arithmetic properties of solutions of certain functional equations in several variables

Cites Work

• A measure for the linear independence of certain numbers
• Linear independence of the values of transcendental solutions of certain functional equations.
• Linear independence measures for certain numbers
• Zu einem Satz von Skolem über lineare Unabhängigkeiten von Werten gewisser Thetareihen. (On a theorem of Skolem on linear independence of values of certain theta series)
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