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On Diophantine approximations of the solutions of q-functional equations

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Publication:4549867
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DOI10.1017/S0308210500001827zbMath1007.39019OpenAlexW1967814134MaRDI QIDQ4549867

Tapani Matala-aho

Publication date: 12 March 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500001827


zbMATH Keywords

number fields\(p\)-adic numbersDiophantine approximations\(q\)-functional equations


Mathematics Subject Classification ID

Functional equations for real functions (39B22) Diophantine approximation, transcendental number theory (11J99)


Related Items (6)

Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers ⋮ Irrationality of values of L‐functions of Dirichlet characters ⋮ On irrationality measures of \(\sum^{\infty}_{l=0}d^{l} / \prod^l_{j=1}(1+d^jr+d^{2j}s)\) ⋮ Linear independence of values of \(G\)-functions. II: Outside the disk of convergence ⋮ SHIDLOVSKY’S MULTIPLICITY ESTIMATE AND IRRATIONALITY OF ZETA VALUES ⋮ On Diophantine approximations of Ramanujan type \(q\)-continued fractions




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