# Congruences from $q$-Catalan Identities

Document Type : Research Paper

Author

Department of Mathematics, The University of Iowa

Abstract

In this paper‎, ‎by studying three $q$-Catalan identities given by Andrews‎, ‎we arrive at a certain number of congruences‎. ‎These congruences are all modulo $\Phi_n(q)$‎, ‎the $n$-th cyclotomic polynomial or the related functions and modulo $q$-integers‎.

Keywords

Main Subjects

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