On sign changes of q-exponents of generalized modular functions

TextLet f   be a generalized modular function (GMF) of weight 0 on Γ0(N)Γ0(N) such that its q  -exponents c(n)c(n) (n∈Nn∈N) are all real, and div(f)=0div(f)=0. In this note, we show the equidistribution of signs for c(p)c(p) (p prime) by using equidistribution theorems for normalized cuspidal eigenforms of integral weight.VideoFor a video summary of this paper, please click here or visit http://youtu.be/Toqhh9v1uJM.