On Zudilin's $q$-Question about Schmidt's Problem
Keywords:
Schmidt's problem, $q$-binomial coefficients, $q$-Pfaff-Saalschütz identity
Abstract
We propose an elemantary approach to Zudilin's $q$-question about Schmidt's problem [Electron. J. Combin. 11 (2004), #R22], which has been solved in a previous paper [Acta Arith. 127 (2007), 17--31]. The new approach is based on a $q$-analogue of our recent result in [J. Number Theory 132 (2012), 1731--1740] derived from $q$-Pfaff-Saalschütz identity.