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Dimensions of cusp forms for Γ0(p) in degree two and small weights

Dimensions of cusp forms for Γ0(p) in degree two and small weights We investigate degree two Siegel cusp forms of small weight for Γ0(p). Using the Restriction Technique we compute some dimensions and verify the conjectures ofHashimoto in some examples of weights three and four. For weight two we determine the dimension for primesp ≤ 41 and find only lifts. We explain in general how to compute spaces of Siegel cusp forms for subgroups of finite index in Γ n . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

Dimensions of cusp forms for Γ0(p) in degree two and small weights

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Mathematische Seminar
Subject
Mathematics; Algebra; Differential Geometry; Combinatorics; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/BF03173489
Publisher site
See Article on Publisher Site

Abstract

We investigate degree two Siegel cusp forms of small weight for Γ0(p). Using the Restriction Technique we compute some dimensions and verify the conjectures ofHashimoto in some examples of weights three and four. For weight two we determine the dimension for primesp ≤ 41 and find only lifts. We explain in general how to compute spaces of Siegel cusp forms for subgroups of finite index in Γ n .

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Nov 9, 2009

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