On Jacobi forms of lattice indexTools Mocanu, Andreea (2019) On Jacobi forms of lattice index. PhD thesis, University of Nottingham.
AbstractJacobi forms arise naturally in number theory in several ways: theta series arise as functions of lattices, Siegel modular forms give rise to Jacobi forms through their FourierJacobi expansion and the largest Mathieu group gives rise to semiholomorphic MaassJacobi forms, for example. Jacobi forms of lattice index have applications in the theory of reflective modular forms and that of vertex operator algebras, among other areas.
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