On diophantine approximations of the Rogers-Ramanujan continued fraction

DOI10.1006/jnth.1993.1073zbMath0790.11051OpenAlexW2071184182MaRDI QIDQ1310897

Tapani Matala-aho

Publication date: 14 June 1994

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

Full work available at URL: https://doi.org/10.1006/jnth.1993.1073

zbMATH Keywords

irrationalityq-hypergeometric seriesp-adic valuationHurwitz method

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72) Approximation in non-Archimedean valuations (11J61)

Related Items (5)

Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers ⋮ Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers ⋮ On the values of continued fractions: \(q\)-series. ⋮ On Diophantine approximations of Ramanujan type \(q\)-continued fractions ⋮ On approximation measures of q-logarithms

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