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.
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/}
}
TY - JOUR AU - Lee, Min Ho TI - Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms JO - Canadian mathematical bulletin PY - 2006 SP - 428 EP - 437 VL - 49 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-042-2/ DO - 10.4153/CMB-2006-042-2 ID - 10_4153_CMB_2006_042_2 ER -
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