Genus 2 paramodular Eisenstein congruences

Dan Fretwell

doi:10.1007/s11139-017-9884-7

Genus 2 paramodular Eisenstein congruences

Dan Fretwell^*

^*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

1 Dyfyniad (Scopus)

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	447-473
Nifer y tudalennau	27
Cyfnodolyn	Ramanujan Journal
Cyfrol	46
Rhif cyhoeddi	2
Dyddiad ar-lein cynnar	14 Maw 2017
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s11139-017-9884-7
Statws	Cyhoeddwyd - 1 Meh 2018
Cyhoeddwyd yn allanol	Ie

Mynediad at Ddogfen

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

Dyfynnu hyn

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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.",

keywords = "Automorphic forms, Eisenstein congruences, Number theory",

author = "Dan Fretwell",

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year = "2018",

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doi = "10.1007/s11139-017-9884-7",

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T1 - Genus 2 paramodular Eisenstein congruences

AU - Fretwell, Dan

PY - 2018/6/1

Y1 - 2018/6/1

N2 - 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.

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

U2 - 10.1007/s11139-017-9884-7

DO - 10.1007/s11139-017-9884-7

M3 - Article

AN - SCOPUS:85015252172

VL - 46

SP - 447

EP - 473

JO - Ramanujan Journal

JF - Ramanujan Journal

SN - 1382-4090

IS - 2

ER -

Genus 2 paramodular Eisenstein congruences

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