On bounding Hecke–Siegel eigenvalues Original Research Article

We use the action of the Hecke operators image (1≤j≤n) on the Fourier coefficients of Siegel modular forms to bound the eigenvalues of these Hecke operators. This extends work of Duke–Howe–Li and of Kohnen, who provided bounds on the eigenvalues of the operator T(p).