English

Tables of graphs of binary and ternary sequences differentiation

Number Theory 2007-10-10 v2 Dynamical Systems

Abstract

Let xx be a cyclic sequence of nn elements of the finite field Fq\mathbb{F}_q (the first element immediately follows the nn-th one). Let us define the operation Δ\Delta as the transition from xx to the sequence of differences of the neighbouring elements from xx. The aim of this work is to give graphs of the dynamic system Δ\Delta for q=2q=2, n300n\le 300 and q=3q=3, n150n\le 150. These results enable us to define more precisely the Arnold hypotheses and to prove them.

Keywords

Cite

@article{arxiv.0704.2947,
  title  = {Tables of graphs of binary and ternary sequences differentiation},
  author = {E. Yu. Lerner},
  journal= {arXiv preprint arXiv:0704.2947},
  year   = {2007}
}

Comments

16 pages, 2 large tables, program on Mathematica