Additive twists of L2-norm of Fourier–Jacobi coefficients of Siegel cusp forms

Let F be a Siegel cusp form of weight k and degree n≥2 and having Fourier–Jacobi coefficients ϕm. We study estimates of L2-norms of these Fourier–Jacobi coefficients and their additive twists in two ways. One of our results generalizes a result of Kohnen and Sengupta.