Siegel Modular Function

A $\Gamma_n$-invariant meromorphic function on the space of all $n\times n$ 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.