We establish an asymptotic formula with a power savings in the error term for traces of cycle integrals of the classical modular -function
This implies a conjecture of Duke, Imamoḡlu, and Tóth.
Riad Masri. "The asymptotic distribution of traces of cycle integrals of the -function." Duke Math. J. 161 (10) 1971 - 2000, 15 July 2012. https://doi.org/10.1215/00127094-1645711