Transactions on Combinatorics (Dec 2016)

Congruences from $q$-Catalan Identities

  • Qing Zou

DOI
https://doi.org/10.22108/toc.2016.20358
Journal volume & issue
Vol. 5, no. 4
pp. 57 – 67

Abstract

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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.

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