On 2015-07-13 21:55, Bill Hart wrote:
    The elements of QQbar are the solutions of algebraic equations. As you
    probably know, the solutions of algebraic equations of degree > 4
    can, in general, not be expressed that nicely.

This is slightly incorrect. The general quintic can be solved in terms
of Jacobi theta functions, the general sextic in terms of Kampe de
Feriet functions, amongst others.

In general Mellin integrals, Fuchsian functions and theta functions can
be used to solve general equations of degree n.

...which proves the original poster's point about "not be expressed that nicely".

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