On Zudilin's \(q\)-question about Schmidt's problem

zbMATH Open1253.05011arXiv1204.0187MaRDI QIDQ456322

Victor J. W. Guo, Jiang Zeng

Publication date: 24 October 2012

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

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-Saalschutz identity.

Full work available at URL: https://arxiv.org/abs/1204.0187

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zbMATH Keywords

\(q\)-binomial coefficients\(q\)-Pfaff-Saalschütz identitySchmidt's problem

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (1)

Beyond Zudilin's conjecturedq-analogue of Schmidt's problem

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