Cycle integrals of the -function on Markov geodesics
Paloma Bengoechea
ETH Zürich, Switzerland
![Cycle integrals of the $j$-function on Markov geodesics cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserials%2Fcover-cmh.png&w=3840&q=90)
Abstract
We give asymptotic upper and lower bounds for the real and imaginary parts of cycle integrals of the classical modular -function along geodesics that correspond to Markov irrationalities.
Cite this article
Paloma Bengoechea, Cycle integrals of the -function on Markov geodesics. Comment. Math. Helv. 97 (2022), no. 4, pp. 611–633
DOI 10.4171/CMH/535