Abstract
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 |
|---|---|
| Original language | English |
| Pages (from-to) | 369 - 374 |
| Number of pages | 6 |
| Journal | Pacific Journal of Mathematics |
| Volume | 211 (2) |
| Publication status | Published - Oct 2003 |