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 (Academic Journal) › peer-review

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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

Keywords

Eisenstein congruences
Paramodular group
automorphic forms
automorphic representations
Galois representations
Local Langlands

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10.1016/j.jnt.2017.05.004

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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 = "Eisenstein congruences, Paramodular group, automorphic forms, automorphic representations, Galois representations, Local Langlands",

author = "Dan Fretwell",

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journal = "Journal of Number Theory",

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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 - Eisenstein congruences

KW - Paramodular group

KW - automorphic forms

KW - automorphic representations

KW - Galois representations

KW - Local Langlands

U2 - 10.1016/j.jnt.2017.05.004

DO - 10.1016/j.jnt.2017.05.004

M3 - Article (Academic Journal)

SN - 0022-314X

VL - 180

SP - 673

EP - 693

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -