I was going through the documentation of MPIR (http://mpir.org/mpir-3.0.0.pdf), specially section 16.1.5 where they refer to the use of Fermat's style FFT. I tried to follow the reference but couldn't quite understand this technique, can anyone explain to me how this Fermat's FFT work? I don't understand how and why the modulus changes from (2^N+1) to (2M+k+3) using FFT-k splitting? If there is some documentation on this with better explanation it would be very helpful! Thanks a lot for your patience
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