Robin Langer, Michael J. Schlosser and
S. Ole Warnaar
Theta functions, elliptic hypergeometric series, and
Kawanaka's Macdonald polynomial conjecture
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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