By deriving Bol's type result, we show how to construct a Jacobi form with different weight from the given Jacobi form. We also show how this analogous theory related to the classical theory of Bol[1] by using the theta-series expansion of the Jacobi form. Furthermore, the partial converse of Bol's result involving the periods of modular forms reveals a connection between Jacobi forms and periods of modular forms.
机构:
Department of Electrical Engineering, Stanford University, Stanford, 94305, CADepartment of Electrical Engineering, Stanford University, Stanford, 94305, CA
Chern B.
Rhoades R.C.
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机构:
Department of Mathematics, Stanford University, Stanford, 94305, CADepartment of Electrical Engineering, Stanford University, Stanford, 94305, CA
机构:
Korea Aerosp Univ, Sch Liberal Arts & Sci, Goyang 412791, Gyeonggi, South KoreaKorea Aerosp Univ, Sch Liberal Arts & Sci, Goyang 412791, Gyeonggi, South Korea
Choi, Dohoon
Lim, Subong
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机构:
Sungkyunkwan Univ, Dept Math Educ, Seoul 110745, South KoreaKorea Aerosp Univ, Sch Liberal Arts & Sci, Goyang 412791, Gyeonggi, South Korea
Lim, Subong
Raji, Wissam
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机构:
Amer Univ Beirut, Dept Math, Beirut, LebanonKorea Aerosp Univ, Sch Liberal Arts & Sci, Goyang 412791, Gyeonggi, South Korea
Raji, Wissam
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX,
2015,
27
(01):
: 33
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45