Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A simple proof of the Zeilberger–Bressoud $q$-Dyson theorem
HTML articles powered by AMS MathViewer

by Gyula Károlyi and Zoltán Lóránt Nagy PDF
Proc. Amer. Math. Soc. 142 (2014), 3007-3011 Request permission

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
Similar Articles
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