Genus 2 paramodular Eisenstein congruences

Dan Fretwell

doi:10.1007/s11139-017-9884-7

Genus 2 paramodular Eisenstein congruences

Dan Fretwell^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We investigate certain Eisenstein congruences, as predicted by Harder, for level p paramodular forms of genus 2. We use algebraic modular forms to generate new evidence for the conjecture. In doing this, we see explicit computational algorithms that generate Hecke eigenvalues for such forms.

Original language	English
Pages (from-to)	447-473
Number of pages	27
Journal	Ramanujan Journal
Volume	46
Issue number	2
Early online date	14 Mar 2017
DOIs	https://doi.org/10.1007/s11139-017-9884-7
Publication status	Published - 1 Jun 2018
Externally published	Yes

Keywords

Automorphic forms
Eisenstein congruences
Number theory

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10.1007/s11139-017-9884-7Licence: CC BY

Cite this

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title = "Genus 2 paramodular Eisenstein congruences",

abstract = "We investigate certain Eisenstein congruences, as predicted by Harder, for level p paramodular forms of genus 2. We use algebraic modular forms to generate new evidence for the conjecture. In doing this, we see explicit computational algorithms that generate Hecke eigenvalues for such forms.",

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AB - We investigate certain Eisenstein congruences, as predicted by Harder, for level p paramodular forms of genus 2. We use algebraic modular forms to generate new evidence for the conjecture. In doing this, we see explicit computational algorithms that generate Hecke eigenvalues for such forms.

KW - Automorphic forms

KW - Eisenstein congruences

KW - Number theory

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DO - 10.1007/s11139-017-9884-7

M3 - Article

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SN - 1382-4090

VL - 46

SP - 447

EP - 473

JO - Ramanujan Journal

JF - Ramanujan Journal

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Genus 2 paramodular Eisenstein congruences

Abstract

Keywords

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