On the Diophantine approximation of values of functions satisfying certain linear q-difference equations

DOI10.1016/0022-314X(71)90033-3zbMath0218.10051MaRDI QIDQ2546528

Charles F. Osgood

Publication date: 1971

Published in: Journal of Number Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Additive difference equations (39A10) Simultaneous homogeneous approximation, linear forms (11J13) Approximation by numbers from a fixed field (11J17)

Related Items (6)

Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Rational approximation to a new generalization of the Rogers-Ramanujan continued fraction ⋮ The Diophantine Approximation of Certain Continued Fractions ⋮ On Diophantine approximations of Ramanujan type \(q\)-continued fractions ⋮ The simultaneous diophantine approximation of values of functions satisfying certain n variable q-difference equations ⋮ Arithmetic properties of special Heine series

Cites Work

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• Analytic theory of linear \(q\)-difference equations
• A method in diophantine approximation
• Some Theorems on Diophantine Approximation
• A method in diophantine approximation (III)
• A method in diophantine approximation (II)

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