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
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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
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