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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 simple proof of Jacobi’s four-square theorem
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by M. D. Hirschhorn PDF
Proc. Amer. Math. Soc. 101 (1987), 436-438 Request permission

Abstract:

Jacobi’s four-square theorem, which gives the number of representations of a positive integer as a sum of four squares, is shown to follow simply from the triple-product identity.
References
    G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, 4th ed., Clarendon Press, Oxford.
  • Michael D. Hirschhorn, A simple proof of Jacobi’s two-square theorem, Amer. Math. Monthly 92 (1985), no. 8, 579–580. MR 812102, DOI 10.2307/2323169
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 101 (1987), 436-438
  • MSC: Primary 11P57; Secondary 05A17, 11E25
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0908644-9
  • MathSciNet review: 908644