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

Abstract

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