ON p-ADIC INTERPOLATION IN TWO OF MAHLER’S PROBLEMS

DOI10.1017/s0004972722000946OpenAlexW4296628971MaRDI QIDQ6093245

Jean Lelis, Bruno de Paula Miranda

Publication date: 6 September 2023

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

Full work available at URL: https://doi.org/10.1017/s0004972722000946

zbMATH Keywords

Mahler expansion\(p\)-adic interpolation\(p\)-adic analytic function\(p\)-adic Liouville numberStrassmann's theorem

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Approximation in non-Archimedean valuations (11J61)

Cites Work

• \(p\)-adic asymptotic properties of constant-recursive sequences
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• On a stronger version of a question proposed by K. Mahler
• Some results on arithmetic properties of \(p\)-adic Liouville numbers
• On transcendental entire functions mapping \(\mathbb{Q}\) into itself
• A positive answer for a question proposed by K. Mahler
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• Some suggestions for further research
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES
• A Note on the p-Adic Convergence of Solutions of Linear Differential Equations
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