Abstract
The paper is devoted to the proof of infinite linear independence at points that admit high-order approximations by algebraic numbers in non-Archimedean normalized fields.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 179, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, 2020.
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Yudenkova, E.Y. Infinite Linear Independence of Values of Generalized Hypergeometric Series with Irrational Parameters at Polyadic Points. J Math Sci 276, 437–442 (2023). https://doi.org/10.1007/s10958-023-06762-x
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DOI: https://doi.org/10.1007/s10958-023-06762-x