On mod ρ modular representations which are defined over Fρ

LJP Kilford

doi:10.3336/gm.43.1.01

On mod ρ modular representations which are defined over Fρ

LJP Kilford

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms~$S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over~$\F_p$, and give a heuristic indicating that these are all such spaces.

Translated title of the contribution	On mod ρ modular representations which are defined over Fρ
Original language	English
Pages (from-to)	1 - 6
Number of pages	6
Journal	Glasnik Matematicki
Volume	43 (1)
DOIs	https://doi.org/10.3336/gm.43.1.01
Publication status	Published - Jun 2007

Bibliographical note

Publisher: Croatian Mathematical Society / University of Zagreb
Other: http://arxiv.org/abs/math/0606052

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10.3336/gm.43.1.01

http://web.math.hr/glasnik/vol_43/no1_01.html

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title = "On mod ρ modular representations which are defined over Fρ",

abstract = "In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms~$S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over~$\F_p$, and give a heuristic indicating that these are all such spaces.",

author = "LJP Kilford",

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year = "2007",

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AB - In this paper, we use techniques of Conrey, Farmer and Wallace to find spaces of modular forms~$S_k(\Gamma_0(N))$ where all of the eigenspaces have Hecke eigenvalues defined over~$\F_p$, and give a heuristic indicating that these are all such spaces.

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DO - 10.3336/gm.43.1.01

M3 - Article (Academic Journal)

VL - 43 (1)

SP - 1

EP - 6

JO - Glasnik Matematicki

JF - Glasnik Matematicki

ER -

On mod ρ modular representations which are defined over Fρ

Abstract

Bibliographical note

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