7 citations · 7 across the 8 of their papers we have counts for
4 papers · 1 filter
On Salem numbers of degree 4 and arithmetic hyperbolic orbifolds
Cayo Dória, Plinio G. P. Murillo
In this article, we construct an arithmetic hyperbolic orbifold such that, any square-rootable Salem number of degree at most over is realized as…
On Systole, Kissing Number and Volume of Arithmetic Manifolds
Plinio Guillel Pino Murillo
The purpose of this expository article is to give a down-to-hearth introduction to the notion of an arithmetic group and arithmetic manifold. To achieve this we have decided to bri…
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…
Salem numbers and commensurability classes of arithmetic hyperbolic manifolds
Michelle Chu, Plinio G. P. Murillo
In this article we show that given a Salem number , a totally real number field , and a positive integer , there exist…