English

Convolution and square in abelian groups II

Algebraic Geometry 2022-08-05 v1

Abstract

A critical value on an abelian group G of odd order d is a value λ\lambda such that the functional equation f\starf (2 t) = λ\lambdaf (t)^2 on G has a nonzero solution f. We construct many critical values by using abelian varieties with complex multiplication.

Keywords

Cite

@article{arxiv.2208.02528,
  title  = {Convolution and square in abelian groups II},
  author = {Yves Benoist},
  journal= {arXiv preprint arXiv:2208.02528},
  year   = {2022}
}
R2 v1 2026-06-25T01:28:21.212Z