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arXiv · 0905.4033

Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture

Robin Langer·Michael J. Schlosser·S. Ole Warnaar
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Abstract

We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.

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Robin Langer, Michael J. Schlosser, S. Ole Warnaar. 2009-05-25. Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture. https://doi.org/10.3842/sigma.2009.055

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