Convolution and square in abelian groups II

2022/08/04 by Yves Benoist, Benoist, Yves
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2208.02528

openalex publication_date 2022/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A critical value on an abelian group G of odd order d is a value λ such that the functional equation f⋆f (2 t) = λf (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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