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Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms

Published online by Cambridge University Press:  20 November 2018

Min Ho Lee
Min Ho Lee*
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A. e-mail: lee@math.uni.edu
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Abstract

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We construct vector-valued modular forms of weight 2 associated to Jacobi-like forms with respect to a symmetric tensor representation of $\Gamma$ by using the method of Kuga and Shimura as well as the correspondence between Jacobi-like forms and sequences of modular forms. As an application, we obtain vector-valued modular forms determined by theta functions and by pseudodifferential operators.

Keywords

11F1111F50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 3 , 01 September 2006 , pp. 428 - 437
Copyright
Copyright © Canadian Mathematical Society 2006

References

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