Congruences from $q$-Catalan Identities

نویسندگان
Zou, Qing ID 1

1 Department of Mathematics, The University of Iowa

doi
10.22108/toc.2016.20358
چکیده

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.

کلیدواژه‌ها
‎Congruences‎, ‎$q$-Catalan identities‎, ‎Catalan numbers‎, ‎$q$-integer‎, ‎Cyclotomic polynomial