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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.


Iyanaga, S. and Kawada, Y. (Eds.). ``Siegel Modular Functions.'' §34F in Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, pp. 131-132, 1980.

© 1996-9 Eric W. Weisstein