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A Note on complex $p$-adic exponential fields

Logic 2018-11-13 v1

Abstract

In this paper we apply Ax-Schanuel's Theorem to the ultraproduct of pp-adic fields in order to get some results towards algebraic independence of pp-adic exponentials for almost all primes pp.

Keywords

Cite

@article{arxiv.1811.04683,
  title  = {A Note on complex $p$-adic exponential fields},
  author = {Ali Bleybel},
  journal= {arXiv preprint arXiv:1811.04683},
  year   = {2018}
}