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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
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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