Hermite's solution of the general quintic in terms of theta functions

reference-request polynomials special-functions theta-functions

Can someone point me at or produce a translation or modern exposition of Hermite's solution of the general quintic in terms of theta functions? (the "before" and "after" steps are on the mathworld page for the quintic, but I'm interested in Hermite/Kronecker's process/proof)


Solution 1:

See Beyond The Quartic by R. Bruce King (Birhauser)

Solution 2:

David Mumford's three volumes of "lectures on theta..." or some similar title, published by Birkhauser c. 1980, give a good more-general context for using modular forms to solve algebraic equations of all degrees. He gives careful attributions, which at the moment I do not remember, and do not have those at home to look at.

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