q-Analogs of some congruences involving Catalan numbers

Details q-Analogs of some congruences involving Catalan numbers q-Analogs of some congruences involving Catalan numbers

2009-05-23

arxiv.org/abs/0905.3816v1

Mathematics

Combinatorics

Scientific paper

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.

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