Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$
Number Theory
2026-03-23 v2
Abstract
In this paper, we study congruences of Hecke eigenvalues between Hermitian Klingen-Eisenstein series and cusp forms on the unitary group defined over the rational number field . We also prove the rationality of the space of Hermitian automorphic forms and the integrality of their Hecke eigenvalues.
Cite
@article{arxiv.2603.08626,
title = {Congruences between Klingen-Eisenstein series and cusp forms on $\mathrm{U}_{n,n}$},
author = {Nobuki Takeda},
journal= {arXiv preprint arXiv:2603.08626},
year = {2026}
}
Comments
40pages