English

Kurokawa-Mizumoto congruence and differential operators on automorphic forms

Number Theory 2024-06-21 v4

Abstract

We give the sufficient conditions for the vector-valued Kurokawa-Mizumoto congruence related to the Klingen-Eisenstein series to hold. And we give a reinterpretation for differential operators on automorphic forms by the representation theory.

Keywords

Cite

@article{arxiv.2403.17579,
  title  = {Kurokawa-Mizumoto congruence and differential operators on automorphic forms},
  author = {Nobuki Takeda},
  journal= {arXiv preprint arXiv:2403.17579},
  year   = {2024}
}