Otto Romero

activity

20172025

collaborators

4 papers

math.NT2025

Counting Salem numbers arising from arithmetic hyperbolic orbifolds

Michelle Chu, Plinio G. P. Murillo, Otto Romero +1

The relationship between Salem numbers and short geodesics has been fruitful in quantitative studies of arithmetic hyperbolic orbifolds, particularly in dimensions 2 and 3. In this…

math.NT2023

The Hodge Laplacian operator on 1-forms on $H$ and 1-form $E_{a}^{1}$

Otto Romero

As is well known, we can average the eigenfunction $y^{s}$ of the hyperbolic Laplacian on the hyperbolic plane by $Γ$ a lattice in $SL (2, R)$ to obtain an automorphi…

math.NT2019

A note on Mellin transform, Eisenstein Series and distribution $d ε_{i t}$ on $P S L (2, Z [i]) \ P S L (2, C)$

Otto Romero

Let $f$ a smooth function with compact support defined on $P S L (2, Z [i]) \ P S L (2, C)$ , we prove a formula for the Mellin transform of $f$ , then we can defin…

math.DS2017

Eisenstein series and equidistribution of Lebesgue probability measures on compact leaves of the horocycle foliations of Bianchi 3-orbifolds

Otto Romero, Alberto Verjovsky

Inspired by the works of Zagier, we study the probability measures $ν (t)$ with support on the flat tori which are the compact orbits of the maximal unipotent subgroup acting holomo…

Counting Salem numbers arising from arithmetic hyperbolic orbifolds

The Hodge Laplacian operator on 1-forms on H and 1-form Ea1​

A note on Mellin transform, Eisenstein Series and distribution dεit​ on PSL(2,Z[i])\PSL(2,C)

Eisenstein series and equidistribution of Lebesgue probability measures on compact leaves of the horocycle foliations of Bianchi 3-orbifolds

The Hodge Laplacian operator on 1-forms on $H$ and 1-form $E_{a}^{1}$

A note on Mellin transform, Eisenstein Series and distribution $d ε_{i t}$ on $P S L (2, Z [i]) \ P S L (2, C)$