q-Analogs of some congruences involving Catalan numbers

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.

Cited by in corpus (2)

• Some new $q$-congruences for truncated basic hypergeometric series
• Some q-congruences related to 3-adic valuations