Convolution and square in abelian groups II
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 ) = λ f ( t ) 2 on G has a nonzero solution f . We construct many critical values by using abelian varieties with complex multiplication.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Journal de Théorie des Nombres de Bordeaux
- Volume
- 38
- Issue
- 2
- Pages
- 355–409
- Publication date
- 16 September 2026
- Language
- EN