2 papers
math.NT2025
Real part of cycle integrals and conjectures of Kaneko
Paloma Bengoechea, Sebastián Herrero, Ãzlem Imamoglu
We prove two of Kaneko's conjectures on the "values" of the modular function at real quadratic irrationalities: we prove the lower bound $\mathrm{Re}(\mathrm{…
math.NT2025
A Lyapunov exponent attached to modular functions
Paloma Bengoechea, Sebastián Herrero, Ãzlem Imamoglu
To each weakly holomorphic modular function for , which is non-negative on the geodesic arc , we atta…