中文

A generatingfunctionology approach to a problem of Wilf

组合数学 2015-06-26 v1

摘要

Wilf posed the following problem: determine asymptotically as nn\to\infty the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m. One solution of this problem was given by Hitczenko and Savage. In this paper, we study this question using the techniques of generating functions and singularity analysis.

关键词

引用

@article{arxiv.math/0110181,
  title  = {A generatingfunctionology approach to a problem of Wilf},
  author = {Pawel Hitczenko and Cecil C. Rousseau and Carla D. Savage},
  journal= {arXiv preprint arXiv:math/0110181},
  year   = {2015}
}

备注

12 pages