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Generators for modules of vector-valued Picard modular forms

Published online by Cambridge University Press:  11 January 2016

Fabien Cléry and
Gerard Van Der Geer
Fabien Cléry
Affiliation:
Korteweg-de Vries Instituut, Universiteit van Amsterdam, Postbus 94248, 1090 GE Amsterdam, The Netherlands, f.l.d.clery@uva.nl
Gerard Van Der Geer
Affiliation:
Korteweg-de Vries Instituut, Universiteit van Amsterdam, Postbus 94248, 1090 GE Amsterdam, The Netherlands, geer@science.uva.nl
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Abstract

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We construct generators for modules of vector-valued Picard modular forms on a unitary group of type (2, 1) over the Eisenstein integers. We also calculate eigenvalues of Hecke operators acting on cusp forms.

Keywords

14J1510D20

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 212 , December 2013, pp. 19 - 57
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2013

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