On partitions of the unit interval generated by Brocot sequences

Anna Dushistova

On partitions of the unit interval generated by Brocot sequences

数论 2007-12-15 v3

作者: Anna Dushistova

摘要

Let $p_{i, n}, i=1,..., N(n)=2^{n-1}$ be the lengths of intervals between the neighboring fractions of Brocot sequence $F_n$ . We obtain an asymptotic formula for $\sigma_{\beta}(F_n)=\sum_{i=1}^{N(n)} p_{i, n}^{\beta}$ ,which improves known estimates.

关键词

random matrix ensembles

引用

@article{arxiv.math/0512598,
  title  = {On partitions of the unit interval generated by Brocot sequences},
  author = {Anna Dushistova},
  journal= {arXiv preprint arXiv:math/0512598},
  year   = {2007}
}

备注

36 pages

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