On sign changes of q-exponents of generalized modular functions
arXiv:1212.3551
Abstract
Let f be a generalized modular function of weight 0 of level N such that its q-exponents c(n)(n>0) are all real, and div(f) is zero. 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.
arXiv commentto appear in the Journal of Number Theory