most citedA Lyapunov exponent attached to modular functions

1 citations · 1 across the 3 of their papers we have counts for

collaborators
Showing math.NTShow all

3 papers · 1 filter

math.NT2025

Real part of cycle integrals and conjectures of Kaneko

Paloma Bengoechea, Sebastián Herrero, Özlem 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★ 1 cited

A Lyapunov exponent attached to modular functions

Paloma Bengoechea, Sebastián Herrero, Özlem Imamoglu

To each weakly holomorphic modular function for , which is non-negative on the geodesic arc , we attach…

math.NT2024

Twisted traces of modular functions on hyperbolic -space

Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1

We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic -space and show that they are essentially given by Fourier coefficients of the $j…