Generic level p Eisenstein congruences for GSp4

JOURNAL OF NUMBER THEORY

卷:180

Article

Fretwell, Dan¹ 

[1] Univ Bristol, Sch Math, Heilbronn Inst Math Res, Bristol, Avon, England

关键词: Eisenstein congruences;    Paramodular group;    Automorphic representations;   

DOI  :  10.1016/j.jnt.2017.05.004

来源: Elsevier

【 摘 要 】

We investigate level p Eisenstein congruences for GSp(4), generalisations of level 1 congruences predicted by Harder. By studying the associated Galois and automorphic representations we see conditions that guarantee the existence of a paramodular form satisfying the congruence. This provides theoretical justification for computational evidence found in the author's previous paper. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free