English

On the pseudorandomness of automatic sequences

Number Theory 2017-10-10 v1

Abstract

We study the pseudorandomness of automatic sequences in terms of well-distribution and correlation measure of order 2. We detect non-random behavior which can be derived either from the functional equations satisfied by their generating functions or from their generating finite automatons, respectively.

Keywords

Cite

@article{arxiv.1710.03026,
  title  = {On the pseudorandomness of automatic sequences},
  author = {László Mérai and Arne Winterhof},
  journal= {arXiv preprint arXiv:1710.03026},
  year   = {2017}
}
R2 v1 2026-06-22T22:07:26.196Z