Convolution and square in abelian groups II
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.
Authors
- Yves Benoist (ORCID: https://orcid.org/0000-0002-3265-2316)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
Publication Details
- Journal
- Journal de Théorie des Nombres de Bordeaux
- Published
- 2026-09-16
- DOI
- https://doi.org/10.5802/jtnb.1365
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00