Sebastián Herrero

activity

20242026

collaborators

5 papers

math.NT2026

Statistical properties of Hecke correspondences

SebastiÃ¡n Herrero, Ricardo Menares, Juan Rivera-Letelier

This paper studies the statistical properties of the dynamical system generated by a Hecke correspondence on the modular curve over $C$ and, for every prime number $p$ , ov…

math.NT2025

Real part of cycle integrals and conjectures of Kaneko

Paloma Bengoechea, SebastiÃ¡n Herrero, Ãzlem Imamoglu

We prove two of Kaneko's conjectures on the "values" $val (w)$ of the modular $j$ function at real quadratic irrationalities: we prove the lower bound $\mathrm{Re}(\mathrm{…

math.NT2025

A Lyapunov exponent attached to modular functions

Paloma Bengoechea, SebastiÃ¡n Herrero, Ãzlem Imamoglu

To each weakly holomorphic modular function $f \neq \equiv 0$ for $SL (2, Z)$ , which is non-negative on the geodesic arc ${e^{i t} : I ¨ /3 \leq t \leq 2 I ¨ /3}$ , we atta…

math.NT2024

Twisted traces of modular functions on hyperbolic $3$ -space

SebastiÃ¡n Herrero, Ãzlem Imamoglu, Anna-Maria von Pippich +1

We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic $3$ -space and show that they are essentially given by Fourier coefficients of the $j…

math.NT2024

Special values of Green's functions on hyperbolic $3$ -space