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Fourier transform in cyclic groups

2024/06/17 by Benoist, Yves
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2406.11529

Abstract

On a cyclic group of prime order, the non-trivial Dirichlet characters together with their Fourier transforms have constant modulus outside 0 and vanish at 0. Answering a question of H. Cohn, we construct new functions with these properties. The proof relies on Floer homology. We also apply this method to the biunimodular functions problem.

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