中文

关于偶数下标 Fibonacci 数的一个注记

数论 2017-06-14 v2

摘要

我们证明正整数 nn 是偶数下标 Fibonacci 数当且仅当 nφ+1n>1\langle n\varphi\rangle+\frac{1}{n}>1

关键词

引用

@article{arxiv.1705.08305,
  title  = {A note on Fibonacci number of even index},
  author = {Achille Frigeri},
  journal= {arXiv preprint arXiv:1705.08305},
  year   = {2017}
}

备注

5 pages There is an error in the main proof (cases 3 and 5). Uniqueness for the decomposition of Fibonacci number of even index is not proved