A New Proof of the Ultrametric Hermite-Lindermann Theorem

Abstract

We propose a new proof of the Hermite-Lindeman Theorem in an ultrametric field by using classical properties of analytic functions. The proof remains valid in zero residue characteristic.

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Correspondence to A. Escassut.

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Escassut, A. A New Proof of the Ultrametric Hermite-Lindermann Theorem. P-Adic Num Ultrametr Anal Appl 12, 333–336 (2020). https://doi.org/10.1134/S207004662004007X

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Keywords

  • \(p\)-adic transcendence numbers
  • \(p\)-adic analytic functions