Generic level p Eisenstein congruences for GSp4

Dan Fretwell

doi:10.1016/j.jnt.2017.05.004

Generic level p Eisenstein congruences for GSp₄

Dan Fretwell

Research output: Contribution to journal › Article › peer-review

Abstract

We investigate level p Eisenstein congruences for GSp₄ 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.

Original language	English
Pages (from-to)	673-693
Number of pages	21
Journal	Journal of Number Theory
Volume	180
Early online date	13 Jul 2017
DOIs	https://doi.org/10.1016/j.jnt.2017.05.004
Publication status	Published - Nov 2017
Externally published	Yes

Keywords

Automorphic representations
Eisenstein congruences
Paramodular group

Access to Document

10.1016/j.jnt.2017.05.004Licence: Other

Cite this

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title = "Generic level p Eisenstein congruences for GSp4",

abstract = "We investigate level p Eisenstein congruences for GSp4 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.",

keywords = "Automorphic representations, Eisenstein congruences, Paramodular group",

author = "Dan Fretwell",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

month = nov,

doi = "10.1016/j.jnt.2017.05.004",

language = "English",

volume = "180",

pages = "673--693",

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T1 - Generic level p Eisenstein congruences for GSp4

AU - Fretwell, Dan

PY - 2017/11

Y1 - 2017/11

N2 - We investigate level p Eisenstein congruences for GSp4 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.

AB - We investigate level p Eisenstein congruences for GSp4 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.

KW - Automorphic representations

KW - Eisenstein congruences

KW - Paramodular group

U2 - 10.1016/j.jnt.2017.05.004

DO - 10.1016/j.jnt.2017.05.004

M3 - Article

AN - SCOPUS:85025478527

SN - 0022-314X

VL - 180

SP - 673

EP - 693

JO - Journal of Number Theory

JF - Journal of Number Theory