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

Abstract:

 We will discuss sign changes of Fourier coefficients of Hecke-Maass cusp forms for the group \(\mathrm{SL}(3, \mathbf{Z})\). 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.