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arXiv · 2208.02528

Convolution and square in abelian groups II

Yves Benoist
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Abstract

A critical value on an abelian group G of odd order d is a value $\lambda$ such that the functional equation f$\star$f (2 t) = $\lambda$f (t)^2 on G has a nonzero solution f. We construct many critical values by using abelian varieties with complex multiplication.

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Yves Benoist. 2022-08-04. Convolution and square in abelian groups II. https://arxiv.org/abs/2208.02528

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