English

Some asymptotic results on q-binomial coefficients

Combinatorics 2016-10-11 v2 Commutative Algebra

Abstract

We look at the asymptotic behavior of the coefficients of the qq-binomial coefficients (or Gaussian polynomials) (a+kk)q\binom{a+k}{k}_q, when kk is fixed. We give a number of results in this direction, some of which involve Eulerian polynomials and their generalizations.

Keywords

Cite

@article{arxiv.1503.06367,
  title  = {Some asymptotic results on q-binomial coefficients},
  author = {Richard P. Stanley and Fabrizio Zanello},
  journal= {arXiv preprint arXiv:1503.06367},
  year   = {2016}
}

Comments

A few revisions in response to the referee's comments. 12 pages. To appear in the Annals of Combinatorics

R2 v1 2026-06-22T08:58:48.436Z