Cancellation of Cusp Forms Coefficients over Beatty Sequences on GL(m)

Abstract Let A ( n 1 , n 2 , … , n m –1 ) be the normalized Fourier coefficients of a Maass cusp form on GL( m ). In this paper, we study the cancellation of A ( n 1 , n 2 , … , n m –1 ) over Beatty sequences.