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math.NT2024
Fourier transform in cyclic groups
Yves Benoist
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…
math.NT2024
Convolution and square in abelian groups III
Yves Benoist
In the first paper we proved that on the cyclic groups of odd order d, there exist non zero functions whose convolution square f*f(2t) is proportional to their square f(t)^2 when t…