Modified Jacobi forms of index zero

2010/06/08 by Koo, Ja Kyung, Shin, Dong Hwa
#11F11 #11F50 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1006.1467

Abstract

By modifying a slash operator of index zero we define modified Jacobi forms of index zero. Such forms play a role of generating nearly holomorphic modular forms of integral weight. Furthermore, by observing a relation between the coefficients of Fourier development of a modified Jacobi form we construct a family of finite-dimensional subspaces.

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