5 papers · 1 filter
Dynamical Mahler Measure: A survey and some recent results
Annie Carter, Matilde Lalín, Michelle Manes +1
We study the dynamical Mahler measure of multivariate polynomials and present dynamical analogues of various results from the classical Mahler measure as well as examples of formul…
On the Northcott property of zeta functions over function fields
Xavier Généreux, Matilde Lalín, Wanlin Li
Pazuki and Pengo defined a Northcott property for special values of zeta functions of number fields and certain motivic -functions. We determine the values for which the Northco…
Sums of divisor functions and von Mangoldt convolutions in leading to symplectic distributions
Vivian Kuperberg, Matilde Lalín
In [arXiv:1504.07804], Keating, Rodgers, Roditty-Gershon and Rudnick established relationships of the mean-square of sums of the divisor function over short intervals and…
Hyperbolic Heron Triangles and Elliptic Curves
Matilde Lalín, Olivier Mila
We define hyperbolic Heron triangles (hyperbolic triangles with "rational" side-lengths and area) and parametrize them in two ways as rational points of certain elliptic curves. We…
Regulator proofs for Boyd's identities on genus 2 curves
Matilde Lalín, Gang Wu
We use the elliptic regulator to recover some identities between Mahler measures involving certain families of genus 2 curves that were conjectured by Boyd and proven by Bertin and…