Abstract :
In this paper, by studying three q-Catalan identities given by Andrews, we arrive at a cer-
tain number of congruences. These congruences are all modulo n(q), the n-th cyclotomic polynomial
or the related functions and modulo q-integers.
Keywords :
Cyclotomic polynomial , q-integer , Catalan numbers , q-Catalan identities , Congruences
