4 papers
On Diophantine properties for values of Dedekind zeta functions
Jerson Caro, Fabien Pazuki, Riccardo Pengo
We study the Northcott and Bogomolov property for special values of Dedekind -functions at real values . We prove, in particular, that the Bogomolov property is…
Irreducibility criteria for the preimages of a transverse variety under endomorphisms of products of elliptic curves
Riccardo Pengo, Evelina Viada
We provide two different proofs of an irreducibility criterion for the preimages of a transverse subvariety of a product of elliptic curves under a diagonal endomorphism of suffici…
Spanning trees in -covers of a finite graph and Mahler measures
Riccardo Pengo, Daniel Vallières
Using the special value at of Artin-Ihara -functions, we associate to every -cover of a finite connected graph a polynomial which we call the \emph{Ihara polyn…
Mahler's measure and elliptic curves with potential complex multiplication
Riccardo Pengo
Given an elliptic curve defined over which has potential complex multiplication by the ring of integers of an imaginary quadratic field we cons…