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The p-adic analytic subgroup theorem revisited

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Abstract

It is well-known that the Wüstholz’ analytic subgroup theorem is one of the most powerful theorems in transcendence theory. The theorem gives in a very systematic and conceptual way the transcendence of a large class of complex numbers, e.g. the transcendence of π which is originally due to Lindemann. In this paper we revisit the p-adic analogue of the analytic subgroup theorem and present a proof based on the method described and developed by the authors in a recent related paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Salzburg, Hellbrunnerstr. 34, 5020, Salzburg, Austria

    C. Fuchs

  2. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, Vietnam

    D. H. Pham

Authors
  1. C. Fuchs
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  2. D. H. Pham
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Fuchs, C., Pham, D.H. The p-adic analytic subgroup theorem revisited. P-Adic Num Ultrametr Anal Appl 7, 143–156 (2015). https://doi.org/10.1134/S2070046615020065

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  • DOI: https://doi.org/10.1134/S2070046615020065

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