A computation of modular forms of weight one and small level

File Description SizeFormat 
Fs40316-016-0072-8.pdfPublished version379.77 kBAdobe PDFView/Open
Title: A computation of modular forms of weight one and small level
Authors: Buzzard, K
Lauder, A
Item Type: Journal Article
Abstract: We report on a computation of holomorphic cuspidal modular forms of weight one and small level (currently level at most 1500) and classification of them according to the projective image of their attached Artin representations. The data we have gathered, such as Fourier expansions and projective images of Hecke newforms and dimensions of space of forms, is available in both Magma and Sage readable formats on a webpage created in support of this project.
Issue Date: 10-Nov-2016
Date of Acceptance: 2-Oct-2016
URI: http://hdl.handle.net/10044/1/44030
DOI: https://dx.doi.org/10.1007/s40316-016-0072-8
ISSN: 2195-4763
Publisher: Springer Verlag
Start Page: 213
End Page: 219
Journal / Book Title: Annales mathématiques du Québec
Volume: 41
Issue: 2
Copyright Statement: © 2016 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L025485/1
Keywords: Science & Technology
Physical Sciences
Modular form
Weight one
Galois representation
Publication Status: Published
Appears in Collections:Pure Mathematics
Faculty of Natural Sciences

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx