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

  • Victor J. W. Guo
  • Jiang Zeng
DOI: https://doi.org/10.37236/2231
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.

Published
2012-07-12
How to Cite
Guo, V. J. W., & Zeng, J. (2012). On Zudilin’s $q$-Question about Schmidt’s Problem. The Electronic Journal of Combinatorics, 19(3), P4. https://doi.org/10.37236/2231
Issue
Volume 19, Issue 3 (2012)
Article Number
P4