Some aspects of Hermitian Jacobi forms |
| |
Authors: | Soumya Das |
| |
Affiliation: | (1) Russian Academy of Sciences, Steklov Institute of Mathematics, Fontanka 27 191023 St, Petersburg, Russia |
| |
Abstract: | We introduce a certain differential (heat) operator on the space of Hermitian Jacobi forms of degree 1, show its commutation with certain Hecke operators and use it to construct a map from elliptic cusp forms to Hermitian Jacobi cusp forms. We construct Hermitian Jacobi forms as the image of the tensor product of two copies of Jacobi forms and also from the differentiation of the variables. We determine the number of Fourier coefficients that determine a Hermitian Jacobi form and use the differential operator to embed a certain subspace of Hermitian Jacobi forms into a direct sum of modular forms for the full modular group. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|