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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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Symmetric functions: a bijective identity
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by N. Metropolis and Gian-Carlo Rota PDF
Proc. Amer. Math. Soc. 102 (1988), 218-220 Request permission

Abstract:

We give a bijective proof of a classical identity which we have named the cyclotomic identity.
References
  • Peter Doubilet, On the foundations of combinatorial theory. VII. Symmetric functions through the theory of distribution and occupancy, Studies in Appl. Math. 51 (1972), 377–396. MR 429577, DOI 10.1002/sapm1972514377
  • Percy A. MacMahon, Combinatory analysis, Chelsea Publishing Co., New York, 1960. Two volumes (bound as one). MR 0141605
  • I. G. Macdonald, Symmetric functions and Hall polynomials, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1979. MR 553598
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 102 (1988), 218-220
  • MSC: Primary 05A19
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0915748-4
  • MathSciNet review: 915748