On approximation measures of q-logarithms

DOI10.1017/S000497270003197XzbMath0930.11053OpenAlexW2164807089MaRDI QIDQ4216656

Tapani Matala-aho, Keijo Väänänen

Publication date: 11 January 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003197x

zbMATH Keywords

Padé approximation\(p\)-adic valuation\(q\)-logarithmsbinary linear recurrencemeasures of irrationalityarchimedean valuation

Mathematics Subject Classification ID

Padé approximation (41A21) Measures of irrationality and of transcendence (11J82) Approximation in non-Archimedean valuations (11J61) Approximation by numbers from a fixed field (11J17)

Related Items (7)

Linear independence of certain sums of reciprocals of the Lucas numbers ⋮ A \(q\)-analog of the hyperharmonic numbers ⋮ On irrationality measures of \(\sum^{\infty}_{l=0}d^{l} / \prod^l_{j=1}(1+d^jr+d^{2j}s)\) ⋮ On the irrationality measure for certain series ⋮ New irrationality measures for 𝑞-logarithms ⋮ Irrationality proof of certain Lambert series using little \(q\)-Jacobi polynomials ⋮ Irrationality measures for the series of reciprocals from recurrence sequences.

Cites Work

• Unnamed Item
• Arithmetic properties of special Heine series
• On diophantine approximations of the Rogers-Ramanujan continued fraction
• Concerning the series \(\sum_{n=1}^{+\infty} {x^ n\over q^ n-1}\)
• On the irrationality of \(\sum (1/(q^ n+r))\)
• On the approximation of certain infinite products.
• On the irrationality of certain series

This page was built for publication: On approximation measures of q-logarithms