English

A rigorous computer aided estimation for Gelfond exponent of weighted Thue-Morse sequences

Dynamical Systems 2018-06-26 v2

Abstract

In this paper, we will provide a mathematically rigorous computer aided estimation for the exact values and robustness for Gelfond exponent of weighted Thue-Morse sequences. This result improves previous discussions on Gelfond exponent by Gelfond, Devenport, Mauduit, Rivat, S\'{a}rk\"{o}zy and Fan et. al.

Keywords

Cite

@article{arxiv.1806.08329,
  title  = {A rigorous computer aided estimation for Gelfond exponent of weighted Thue-Morse sequences},
  author = {Yiwei Zhang and Ke Yin and Wanquan Wu},
  journal= {arXiv preprint arXiv:1806.08329},
  year   = {2018}
}

Comments

22 pages, 7 Figures, 4 Tables