On sign changes of q-exponents of generalized modular functions

Text: Let f be a generalized modular function (GMF) of weight 0 on Γ0(N) such that its q-exponents c(n) (n∈N) are all real, and div(f) = 0. In this note, we show the equidistribution of signs for c(p) (p prime) by using equidistribution theorems for normalized cuspidal eigenforms of integral weight. Video: For a video summary of this paper, please click here or visit http://youtu.be/Toqhh9v1uJ