Geodesic
Hecke Operators on Jacobi-like Forms
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 282-291

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Jacobi-like forms for a discrete subgroup $\Gamma \,\subset \,\text{SL}\left( 2,\,\mathbb{R} \right)$ are formal power series with coefficients in the space of functions on the Poincaré upper half plane satisfying a certain functional equation, and they correspond to sequences of certain modular forms. We introduce Hecke operators acting on the space of Jacobi-like forms and obtain an explicit formula for such an action in terms of modular forms. We also prove that those Hecke operator actions on Jacobi-like forms are compatible with the usual Hecke operator actions on modular forms.
DOI : 10.4153/CMB-2001-028-6
Mots-clés : 11F25, 11F12 
Lee, Min Ho; Myung, Hyo Chul. Hecke Operators on Jacobi-like Forms. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 282-291. doi: 10.4153/CMB-2001-028-6
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     title = {Hecke {Operators} on {Jacobi-like} {Forms}},
     journal = {Canadian mathematical bulletin},
     pages = {282--291},
     year = {2001},
     volume = {44},
     number = {3},
     doi = {10.4153/CMB-2001-028-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-028-6/}
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