Convolution and square in abelian groups II

Published 4 Aug 2022 in math.AG | (2208.02528v1)

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

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