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Do you know some combinations between Galois theory and Fourier analysis and what are the applications?

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If we say that mathematics is divided into $N$ fields – where $N$ is quite large – then one can generate $N(N-1)/2$ questions of this form without any thought whatsoever. –  Harald Hanche-Olsen Nov 17 '12 at 14:16
The Lagrange resolvent: home.ie.cuhk.edu.hk/~wkshum/wordpress/?p=152 –  dls Jul 26 '13 at 19:33
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