Abstract
We prove the Jacobi Triple Product Identity by exhibiting an elementary number-theoretic proposition that is equivalent to it, and then proving that the proposition is true.
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References
George E. Andrews, A Simple Proof of Jacobi’s Triple Product Identity, Proceedings of the American Mathematical Society, Vol. 16, No.2. (Apr., 1965), pp. 333–334.
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M. S. Cheema, Vector Partitions and Combinatorial Identities, Math. Compo 18 (1964), 414–420.
C. Sudler, Two enumerative proofs of an identity of Jacobi, Proc. Edinburgh Math. Soc. 15 (1966), 67–71.
E. M. Wright, An enumerative proof of an identity of Jacobi, J. London Math. Soc. 40 (1965), 55–57.
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Dedicated to George Andrews on his sixtieth birthday: “Unsolved problems tremble with fear as he approaches.”
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© 2001 Springer-Verlag Berlin Heidelberg
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Wilf, H.S. (2001). The Number-Theoretic Content of the Jacobi Triple Product Identity. In: Foata, D., Han, GN. (eds) The Andrews Festschrift. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56513-7_11
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DOI: https://doi.org/10.1007/978-3-642-56513-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41491-9
Online ISBN: 978-3-642-56513-7
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