Endoscopic congruences modulo adjoint $L$-values for $\mathrm{GSp}(4)$
Number Theory
2019-11-04 v5
Abstract
We establish the existence of congruences between a fixed endoscopic cuspidal automorphic representation of of square-free conductor and stable cuspidal automorphic representations of the same level and weight modulo certain prime factors of the value at of the adjoint -function of normalized by a suitable period.
Keywords
Cite
@article{arxiv.1806.02135,
title = {Endoscopic congruences modulo adjoint $L$-values for $\mathrm{GSp}(4)$},
author = {Francesco Lemma and Tadashi Ochiai},
journal= {arXiv preprint arXiv:1806.02135},
year = {2019}
}