English

A method of finding the asymptotics of q-series based on the convolution of generating functions

Combinatorics 2016-03-08 v3

Abstract

This paper analyzes over 30 types of q-series and the asymptotic behavior of their expansions. A method is described for deriving further asymptotic formulas using convolutions of generating functions with subexponential growth. All variables in the article are integers.

Keywords

Cite

@article{arxiv.1509.08708,
  title  = {A method of finding the asymptotics of q-series based on the convolution of generating functions},
  author = {Vaclav Kotesovec},
  journal= {arXiv preprint arXiv:1509.08708},
  year   = {2016}
}

Comments

28 pages