6 citations · 10 across the 11 of their papers we have counts for
11 papers · 1 filter
Statistical properties of Hecke correspondences
Sebastián 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 and, for every prime number , ov…
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{…
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…
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…
Special values of Green's functions on hyperbolic -space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analo…
p-Adic distribution of CM points and Hecke orbits. II: Linnik equidistribution on the supersingular locus
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
For every prime number , this paper determines the asymptotic distribution of CM points on the moduli space of elliptic curves over . In stark contrast to the comp…
There are at most finitely many singular moduli that are S-units
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
We show that for every finite set of prime numbers S, there are at most finitely many singular moduli that are S-units. The key new ingredient is that for every prime number p, sin…
p-Adic distribution of CM points and Hecke orbits. I. Convergence towards the Gauss point
Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier
We study the asymptotic distribution of CM points on the moduli space of elliptic curves over , as the discriminant of the underlying endomorphism ring varies. In con…
Solutions of equations involving the modular function
Sebastian Eterović, Sebastián Herrero
Inspired by work done for systems of polynomial exponential equations, we study systems of equations involving the modular function. We show general cases in which these system…
Mock modular forms whose shadows are Eisenstein series of integral weight
Sebastián Herrero, Anna-Maria von Pippich
The purpose of this article is to give a simple and explicit construction of mock modular forms whose shadows are Eisenstein series of arbitrary integral weight, level, and charact…
A Jensen-Rohrlich type formula for the hyperbolic 3-space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
In this article we give a Jensen-Rohrlich type formula for a certain class of automorphic functions on the hyperbolic 3-space for the group .