Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms
Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 428-437

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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.
DOI : 10.4153/CMB-2006-042-2
Mots-clés : 11F11, 11F50
Lee, Min Ho. Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms. Canadian mathematical bulletin, Tome 49 (2006) no. 3, pp. 428-437. doi: 10.4153/CMB-2006-042-2
@article{10_4153_CMB_2006_042_2,
     author = {Lee, Min Ho},
     title = {Vector-Valued {Modular} {Forms} of {Weight} {Two} {Associated} {With} {Jacobi-Like} {Forms}},
     journal = {Canadian mathematical bulletin},
     pages = {428--437},
     year = {2006},
     volume = {49},
     number = {3},
     doi = {10.4153/CMB-2006-042-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-042-2/}
}
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