On Zudilin's \(q\)-question about Schmidt's problem
type: Item
instance of: scholarly article
title: On Zudilin's \(q\)-question about Schmidt's problem
zbMATH Open document ID: 1253.05011
author: Victor J. W. Guo
author: Jiang Zeng
published in: The Electronic Journal of Combinatorics
publication date: 2012-10-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1204.0187
full work available at URL: v19i3p4
review text: Summary: We propose an elementary approach to Zudilin's \(q\)-question about Schmidt's problem [\textit{W. Zudilin}, Electron. J. Comb. 11, No. 1, Research paper R22, 8 p. (2004; Zbl 1126.11012)], which has been solved in a previous paper [\textit{V. J. W. Guo}, \textit{F. Jouhet} and \textit{J. Zeng}, Acta Arith. 127, No. 1, 17--31 (2007; Zbl 1116.05004)]. The new approach is based on a \(q\)-analogue of our recent result in [the authors, J. Number Theory 132, No. 8, 1731--1740 (2012; Zbl 1300.11005)] derived from \(q\)-Pfaff-Saalschütz identity.
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 6098346
zbMATH Keywords: Schmidt's problem
zbMATH Keywords: \(q\)-binomial coefficients
zbMATH Keywords: \(q\)-Pfaff-Saalschütz identity
MaRDI profile type: Publication
arXiv ID: 1204.0187
description: scientific article; zbMATH DE number 6098346