On algebraic relations in non-archimedean fields

DOI10.1007/BF01077066zbMath0797.11062OpenAlexW1976765258MaRDI QIDQ1316815

Vladimir G. Chirskii

Publication date: 12 April 1994

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077066

zbMATH Keywords

hypergeometric seriesalgebraic relations\(p\)-adic field\(F\)-functionSiegel normal systemSiegel-Shidlovskii method

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Approximation in non-Archimedean valuations (11J61)

Related Items (6)

Effective estimates for global relations on Euler-type series ⋮ Unnamed Item ⋮ Infinite algebraic independence of some almost polyadic numbers ⋮ Infinite linear independence of values of generalized hypergeometric series with irrational parameters at polyadic points ⋮ Euler's divergent series in arithmetic progressions ⋮ Euler's factorial series at algebraic integer points

Cites Work

• Three coupled oscillators: Mode-locking, global bifurcations and toroidal chaos
• Resonance regions for Mathieu type dynamical systems on a torus
• Remarks on the perturbation theory for problems of Mathieu type
• Resonance regions for families of torus maps

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