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Old 2020-04-12, 09:44   #2
Nick
 
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Dec 2012
The Netherlands

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I'm having trouble understanding what you have written.
You start with q, which I assume is a fixed prime number, and define zeta as a primitive qth root of unity in the complex numbers.
You then choose a polynomial F and suppose that \(F(\zeta^m)=F(\zeta)\) whenever \(v(m)\equiv 0\pmod{e}\).
Presumably this e is not the constant 2.718... that you used earlier! Is e a fixed integer here?
In explaining what v(n) means, you then refer to both e and f - what is f?
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