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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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On a Rogers-Ramanujan type identity from crystal base theory
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by Jehanne Dousse and Jeremy Lovejoy PDF
Proc. Amer. Math. Soc. 146 (2018), 55-67 Request permission

Abstract:

We refine and generalise a Rogers-Ramanujan type partition identity arising from crystal base theory. Our proof uses the variant of the method of weighted words recently introduced by the first author.
References
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Additional Information
  • Jehanne Dousse
  • Affiliation: Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland
  • MR Author ID: 1036858
  • ORCID: 0000-0001-6825-0389
  • Email: jehanne.dousse@math.uzh.ch
  • Jeremy Lovejoy
  • Affiliation: CNRS, Université Denis Diderot – Paris 7, Case 7014, 75205 Paris Cedex 13, France
  • MR Author ID: 671259
  • Email: lovejoy@math.cnrs.fr
  • Received by editor(s): December 21, 2016
  • Received by editor(s) in revised form: February 9, 2017, February 13, 2017, and February 14, 2017
  • Published electronically: July 27, 2017
  • Additional Notes: The first author was supported by the Forschungskredit of the University of Zurich, grant No. FK-16-098
    The authors thank the University of Zurich and the French-Swiss collaboration project No. 2015-09 for funding research visits during which this research was conducted
  • Communicated by: Ken Ono
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 55-67
  • MSC (2010): Primary 05A17, 11P81, 11P84
  • DOI: https://doi.org/10.1090/proc/13694
  • MathSciNet review: 3723120