On Diophantine approximations of mock theta functions of third order

DOI10.1023/A:1009817604368zbMath1001.11030OpenAlexW94337331MaRDI QIDQ1567056

Keijo Väänänen, Tapani Matala-aho

Publication date: 17 December 2002

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009817604368

zbMATH Keywords

Padé approximationirrationality measurebounds\(q\)-hypergeometric functionssimultaneous approximationsvalues of \(q\)-exponential functionvalues of Ramanujan's mock theta functions of third order

Mathematics Subject Classification ID

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

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On restricted approximation measures of Jacobi's triple product ⋮ On irrationality measures of \(\sum^{\infty}_{l=0}d^{l} / \prod^l_{j=1}(1+d^jr+d^{2j}s)\) ⋮ On \(q\)-analogues of divergent and exponential series ⋮ On the spacings between \(C\)-nomial coefficients

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