Otto Romero

activity

20192025

collaborators

3 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…

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)

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 $P S L (2, Z [i]) \ P S L (2, C)$