On Tue, Nov 28, 2023 at 07:02:16PM +0800, Qian Yun wrote:
> I have examined integrals where rootSum is over degree 4, from a
> subset of Nasser's test.
>
> Other less common cases are:
<snip>
> %A^4-1/2048 integrate(1/(x^4-2),x)
%A^4-1 is actually an example of x^4 + a with negative a, so
easy to handle once we extend scalars by sqrt(2048) (equivalently
sqrt(2))
> %A^6-1/1492992 integrate(1/(x^6-2),x)
similar to the above, using sqrt(1492992)
> %A^6+1/1492992 integrate(1/(x^6+2),x)
This leads to degree 3 equation for real parts of the roots.
--
Waldek Hebisch
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