Note on Hermitian Jacobi forms
Das, Soumya
Tsukuba J. Math., Tome 34 (2010) no. 1, p. 59-78 / Harvested from Project Euclid
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We compare the spaces of Hermitian Jacobi forms (HJF) of weight $k$ and indices 1, 2 with classical Jacobi forms (JF) of weight $k$ and indices 1, 2, 4. Upper bounds for the order of vanishing of HJF at the origin are obtained. We compute the rank of HJF as a module over elliptic modular forms and prove the algebraic independence of the generators in case of index 1. Some related questions are discussed.
Publié le : 2010-08-15
Classification:  Hermitian Jacobi forms,  Restriction maps,  11F50,  11F55 
@article{1283967408,
     author = {Das, Soumya},
     title = {Note on Hermitian Jacobi forms},
     journal = {Tsukuba J. Math.},
     volume = {34},
     number = {1},
     year = {2010},
     pages = { 59-78},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1283967408}
}

Das, Soumya. Note on Hermitian Jacobi forms. Tsukuba J. Math., Tome 34 (2010) no. 1, pp.  59-78. http://gdmltest.u-ga.fr/item/1283967408/