English

q-Analogs of some congruences involving Catalan numbers

Combinatorics 2009-05-26 v1 Number Theory

Abstract

We provide some variations on the Greene-Krammer's identity which involve q-Catalan numbers. Our method reveals a curious analogy between these new identities and some congruences modulo a prime.

Keywords

Cite

@article{arxiv.0905.3816,
  title  = {q-Analogs of some congruences involving Catalan numbers},
  author = {Roberto Tauraso},
  journal= {arXiv preprint arXiv:0905.3816},
  year   = {2009}
}