Jesse Jääsaari: On Signs of Fourier Coefficients of Hecke-Maass Cusp Forms on GL(3)

Speaker
Jesse Jääsaari, University of Turku

Abstract
We will discuss sign changes of Fourier coefficients of Hecke-Maass cusp forms for the group SL(3,Z). In particular, for self-dual forms we will consider real-valued coefficients A(m,1), which correspond to Hecke eigenvalues once the underlying form is properly normalised. We also state some results for coefficients A(m,m), which are always real-valued.