English

On simplifications of certain $q$-multisums

Classical Analysis and ODEs 2018-12-14 v1

Abstract

Some examples of naturally arising multisum qq-series which turn out to have representations as fermionic single sums are presented. The resulting identities are proved using transformation formulas from the theory of basic hypergeometric series.

Keywords

Cite

@article{arxiv.1812.05546,
  title  = {On simplifications of certain $q$-multisums},
  author = {Andrew V. Sills},
  journal= {arXiv preprint arXiv:1812.05546},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T06:41:43.866Z