12 citations · 22 across the 8 of their papers we have counts for
8 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…
Limits of Mahler measures in multiple variables
François Brunault, Antonin Guilloux, Mahya Mehrabdollahei +1
We prove that certain sequences of Laurent polynomials, obtained from a fixed Laurent polynomial P by monomial substitutions, give rise to sequences of Mahler measures which conver…
How big is the image of the Galois representations attached to CM elliptic curves?
Francesco Campagna, Riccardo Pengo
Using an analogue of Serre's open image theorem for elliptic curves with complex multiplication, one can associate to each CM elliptic curve defined over a number field a n…
On the Northcott property for special values of L-functions
Fabien Pazuki, Riccardo Pengo
We propose an investigation on the Northcott, Bogomolov and Lehmer properties for special values of L-functions. We first introduce an axiomatic approach to these three properties.…
Entanglement in the family of division fields of elliptic curves with complex multiplication
Francesco Campagna, Riccardo Pengo
For every elliptic curve which has complex multiplication (CM) and is defined over a number field containing the CM field , we prove that the family of -divi…
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…