Giacomo Cherubini

activity

20242026

collaborators

3 papers

math.NT2026

Local average in the Hyperbolic sphere problem

Giacomo Cherubini, Christos Katsivelos

We consider a local average in the hyperbolic lattice point counting problem for the Picard group $I^$ acting on the three-dimensional hyperbolic space. Compared to the pointwise c…

math.NT2025

The hyperbolic circle problem over Heegner points

Dimitrios Chatzakos, Giacomo Cherubini, Stephen Lester +1

For the full modular group, we obtain a logarithmic improvement on Selberg's long-standing bound for the error term of the counting function in the hyperbolic circle problem over H…

math.NT2024

There are Salem numbers with trace $- 3$ and every degree at least $34$

Giacomo Cherubini, Pavlo Yatsyna

We prove that there exist Salem numbers with trace $- 3$ and every even degree $\geq 34$ . Our proof combines a theoretical approach, which allows us to treat all sufficiently large…

Local average in the Hyperbolic sphere problem

The hyperbolic circle problem over Heegner points

There are Salem numbers with trace −3 and every degree at least 34

There are Salem numbers with trace $- 3$ and every degree at least $34$