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math.NT2026
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.NT2025
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…