English

The existence of $T$-numbers in positive characteristic

Number Theory 2019-06-04 v4

Abstract

As an analogue of Mahler's classification for real numbers, Bundschuh introduced a classification for Laurent series over a finite field, divided into A,S,T,UA,S,T,U-numbers.It is known that each of A,S,UA,S,U-numbers is nonempty.On the other hand, the existence of TT-numbers is open.In this paper, we give an affirmative answer to the problem.

Keywords

Cite

@article{arxiv.1706.05887,
  title  = {The existence of $T$-numbers in positive characteristic},
  author = {Tomohiro Ooto},
  journal= {arXiv preprint arXiv:1706.05887},
  year   = {2019}
}

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10 pages