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A -invariant meromorphic function on the space of all
complex symmetric matrices with Positive
Imaginary Part. In 1984, H. Umemura expressed the Roots of an arbitrary Polynomial in terms
of elliptic Siegel functions.
References
Iyanaga, S. and Kawada, Y. (Eds.). ``Siegel Modular Functions.'' §34F in
Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 131-132, 1980.