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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)

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    $\begingroup$ I'm currently far away from my library, but as I seem to recall these two books tackle the solution of the quintic via modular/theta functions. $\endgroup$ – J. M. isn't a mathematician Apr 27 '11 at 15:08
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See Beyond The Quartic by R. Bruce King (Birhauser)

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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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  • $\begingroup$ I have the first volume, all digitally: /Tata Lectures on Theta/: the second contains Hiroshi Umemura's /Resolutions of Algebraic Equations by Theta Constants/. $\endgroup$ – graveolensa Mar 31 at 15:28

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