A weak multiplicity-one theorem for Siegel modular forms

Rudolf Scharlau and Lynne H. Walling

Vol. 211 (2003), No. 2, 369–374

DOI: 10.2140/pjm.2003.211.369

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.

Milestones

Received: 7 July 2000

Published: 1 October 2003