No abstract

We prove a result on the distribution of Hecke eigenvalues, μ F (p r) (for r = 1, 2 or 3) of a non-Saito-Kurokawa lift F of degree 2. As a consequence, we obtain an Omega result for the Hecke eigenvalues for such an F, which is the best possible in terms of orders of magnitude.

No abstract

We show that it is possible to remove two differential operators from the standard collection of m of them used to embed the space of Jacobi forms of odd weight k and index m into several pieces of elliptic modular forms.

We prove that for any given ε > 0, the first negative eigenvalue of the Yoshida lift F of a pair of elliptic cusp forms f , g having square-free levels (where g has weight 2 and satisfies and c ε is a constant depending only on ε.