2 papers
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…
math.GR2025
On multiplicities in length spectra of semi-arithmetic hyperbolic surfaces
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
We show that semi-arithmetic surfaces of arithmetic dimension two which admit a modular embedding have exponential growth of mean multiplicities in their length spectrum. Prior to…