On Zudilin's $q$-Question about Schmidt's Problem

Victor J. W. Guo, Jiang Zeng

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.


Keywords


Schmidt's problem; $q$-binomial coefficients; $q$-Pfaff-Saalschütz identity

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