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Some computational results on Hecke eigenvalues of modular forms on a unitary group

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Abstract:

In this paper we present some computational results on Hecke eigenforms and eigenvalues for a unitary group in three variables. Our results are based on the work of Shiga [SHig], Holzapfel [Holz1,Holz2] and Feustel ]Feustel] which gives in a special case a generating system for the ring of (holomorphic) modular forms consisting of powers of theta constants. We compute all Hecke eigenforms in this ring for weights up to 12 and for each eigenform the first Hecke eigenvalues.

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  1. Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf, Lehrstuhl für Mathematik und Mathematikdidaktik, Universitätsstr. 1, D-40225 Düsseldorf, Germany. e-mail: tfinis@math.ucla.edu    or    finis@math.uni-duesseldorf.de, , , , , , DE

    Tobias Finis

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  1. Tobias Finis
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Received: 25 July 1997 / Revised version: 7 January 1998

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Finis, T. Some computational results on Hecke eigenvalues of modular forms on a unitary group . manuscripta math. 96, 149–180 (1998). https://doi.org/10.1007/s002290050059

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  • DOI: https://doi.org/10.1007/s002290050059

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