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Old 2020-04-13, 16:59   #7
Nick
 
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Dec 2012
The Netherlands

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On your 1st sheet, you have
\[ F(\zeta)=\sum_{r=1}^{q-1}A_r\zeta^r\]
so there is no term with \(\zeta^0\) (or \(\zeta^q\) which is also 1).
On your 2nd sheet, you apply the idea to a polynomial which does have a term with \(\zeta^0\).
Is the book you are using a well known one? If one of has it, perhaps we can help you pinpoint where the misunderstanding arises.
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