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Results tagged with cyclotomic-fields
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user 4312
A cyclotomic field is a number field obtained by adjoining a complex primitive root of unity to $\mathbb Q$, the field of rational numbers.
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A sum involving roots of unity
Here is the proof of Kevin Liu's version
$$
\sum_{k=1}^{2n+1}\left(\frac{(-y)^k}{1-y^{3k}}+ \frac{y^{k}}{1+y^{3k}}\right)=-n-1
$$
(for the primitive root of unity $y$ of degree $6n+4$) of Nemo's redu …
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