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Transcendence of certain sequences of algebraic numbers

Number Theory 2025-03-18 v3

Abstract

Using Schmidt's Subspace Theorem, this paper improves and extends an existing transcendence result for sequences of algebraic numbers. The theorems thus produced correspond to a central theorem on the irrationality of sequences due to Erd\H{o}s.

Keywords

Cite

@article{arxiv.2308.15302,
  title  = {Transcendence of certain sequences of algebraic numbers},
  author = {Mathias L. Laursen},
  journal= {arXiv preprint arXiv:2308.15302},
  year   = {2025}
}

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25 pages