Saito-Kurokawa liftings of level \(N\) and practical construction of Jacobi forms (Q2428707)

In the paper under review the author derives a generalization of the Saito-Kurokawa lift to the case of Jacobi forms of arbitrary level including characters. The lift is described explicitly on the basis of the Fourier expansions. The paper describes the Hecke theory, including operators at bad primes. The final section contains explicit descriptions of Jacobi forms of level \(N\leq 5\).