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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.

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A polynomial identity implying Schur’s partition theorem
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by Ali Kemal Uncu PDF
Proc. Amer. Math. Soc. 148 (2020), 3307-3324 Request permission


We propose and prove a new polynomial identity that implies Schur’s partition theorem. We give combinatorial interpretations of some of our expressions in the spirit of Kurşungöz. We also present some related polynomial and $q$-series identities.
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Additional Information
  • Ali Kemal Uncu
  • Affiliation: Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Altenbergerstrasse 69A, 4040 Linz, Austria
  • MR Author ID: 1129887
  • ORCID: 0000-0001-5631-6424
  • Email:
  • Received by editor(s): March 4, 2019
  • Received by editor(s) in revised form: September 17, 2019, December 20, 2019, and December 27, 2019
  • Published electronically: March 23, 2020
  • Additional Notes: Research of the author was supported by the Austrian Science Fund FWF, SFB50-07, -09, and -11 Projects.
  • Communicated by: Amanda Folsom
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3307-3324
  • MSC (2010): Primary 05A15, 05A17, 05A19, 11B37, 11P83
  • DOI:
  • MathSciNet review: 4108840