Using the explicit action of the Hecke operators T(p) acting on the Fourier coefficients of Siegel modular forms of arbitrary degree and level, a short and elementary proof and a generalization of a result by Breulmann and Kohnen is obtained, which says that cuspidal eigenforms are determined by their coefficients on matrices of square-free content.
|Translated title of the contribution||A weak multiplicity-one theorem for Siegel modular forms|
|Pages (from-to)||369 - 374|
|Number of pages||6|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - Oct 2003|