A simple proof of the Zeilberger–Bressoud $q$-Dyson theorem
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- by Gyula Károlyi and Zoltán Lóránt Nagy PDF
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Abstract:
As an application of the Combinatorial Nullstellensatz, we give a short polynomial proof of the $q$-analogue of Dyson’s conjecture formulated by Andrews and first proved by Zeilberger and Bressoud.References
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Additional Information
- Gyula Károlyi
- Affiliation: School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
- Address at time of publication: Institute of Mathematics, Eötvös University, Pázmány P. sétány 1/c, Budapest, 1117 Hungary
- Email: karolyi@cs.elte.hu
- Zoltán Lóránt Nagy
- Affiliation: Alfréd Rényi Institute of Mathematics, Reáltanoda utca 13–15, Budapest, 1053 Hungary
- Email: nagyzoltanlorant@gmail.com
- Received by editor(s): March 26, 2012
- Received by editor(s) in revised form: August 16, 2012, and September 26, 2012
- Published electronically: May 28, 2014
- Additional Notes: This research was supported by the Australian Research Council, by ERC Advanced Research Grant No. 267165, and by Hungarian National Scientific Research Funds (OTKA) Grants 67676 and 81310
- Communicated by: Jim Haglund
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3007-3011
- MSC (2010): Primary 05A19, 05A30, 33D05, 33D60
- DOI: https://doi.org/10.1090/S0002-9939-2014-12041-7
- MathSciNet review: 3223356