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Proofs of some hyperelliptic function identities

Published online by Cambridge University Press:  17 April 2009

Michael D. Hirschhorn
Michael D. Hirschhorn
Affiliation:
School of Mathematics, UNSW, Sydney 2052, Australia
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Abstract

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We give simple direct proofs of some hyperelliptic function identities conjectured by R.J. Baxter which arose in his study of the chiral Potts model.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 58 , Issue 3 , December 1998 , pp. 465 - 468
Copyright
Copyright © Australian Mathematical Society 1998

References

[1]Baxter, R.J., ‘Some hyperelliptic function identities that occur in the chiral Potts model’, J. Phys. A (submitted).Google Scholar
[2]Borwein, J.W., Borwein, P.B. and Garvan, F.G., ‘Some cubic modular identities of Ramanujan’, Trans. Amer. Math. Soc. 343 (1994), 35–39.CrossRefGoogle Scholar