GENERALIZED mth ORDER JACOBI THETA FUNCTIONS AND THE MACDONALD IDENTITIES
2008 ◽
Vol 04
(03)
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pp. 461-474
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Keyword(s):
We describe an mth order generalization of Jacobi's theta functions and use these functions to construct classes of theta function identities in multiple variables. These identities are equivalent to the Macdonald identities for the seven infinite families of irreducible affine root systems. They are also equivalent to some elliptic determinant evaluations proven recently by Rosengren and Schlosser.
2012 ◽
Vol 6
(1)
◽
pp. 114-125
◽
2012 ◽
Vol 08
(08)
◽
pp. 1977-2002
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Keyword(s):
2016 ◽
Vol 12
(04)
◽
pp. 945-954
2012 ◽
Vol 09
(01)
◽
pp. 189-204
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Keyword(s):
2018 ◽
Vol 11
(1)
◽
pp. 1
◽
Keyword(s):