Convolution and Square on Abelian Groups
De Yves Benoist
Apparaît dans la collection : Arithmetic and Diophantine Geometry, via Ergodic Theory and o-minimality
We will construct functions on finite abelian groups whose convolution square is proportional to their square. For that, we will interpret the abelian group as a subgroup of an abelian variety with complex multiplication, and use the modularity properties of their theta functions.
