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Old 2020-04-13, 13:54   #4
Nick's Avatar
Dec 2012
The Netherlands

7·239 Posts

Let's take your example of q=7. If

where the \(f_i\) and \(g_i\) are polynomials with integer (or rational) coefficients
then \(f_0=g_0\), \(f_1=g_1\),...,\(f_6=g_6\).
So it's not a problem if the polynomial F has a constant term.
Replacing \(\zeta\) with \(\zeta^m\) permutes the coefficients of \(\zeta^1\) up to \(\zeta^6\) and leaves \(\zeta^0\) unaltered.

Last fiddled with by Nick on 2020-04-13 at 20:19 Reason: Corrected typo
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