Abstract
We explore when it is legal to differentiate a polynomial evaluated at a root of unity using modular arithmetic.
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References
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Boykett, T., Devillers, A., Glasby, S.P.: \(J\)-groups, the functional equation \(f(xk)=xf(x)\) and input-output automata (in preparation)
Acknowledgements
SG gratefully acknowledges support from the Australian Research Council Discovery Project DP190100450. We thank the referee for their helpful suggestions.
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Devillers, A., Glasby, S. Roots of unity and unreasonable differentiation. Arch. Math. 113, 367–371 (2019). https://doi.org/10.1007/s00013-019-01342-5
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DOI: https://doi.org/10.1007/s00013-019-01342-5