22 citations · 149 across the 30 of their papers we have counts for
31 papers
Beyond the unique pair: a two-parameter family of rational triangles with equal perimeter and area
Jesse Allen, Olivier Beaudry-Ogden, Théophane Bouchard +4
We study pairs consisting of a rational isosceles triangle and a rational triangle having a prescribed angle , with equal perimeter and equal area. Writing $ρ=\cos(θ)\in\mathbb{…
Machine learning the arithmetic of Boyd's Mahler measure conjectures
Alberto Alfarano, Pablo Bianucci, Matilde N. Lal\'ın +1
Boyd conjectured that the Mahler measure of for an integer, is given by , where is the elliptic curve associated to…
Nonvanishing of --functions associated to fixed order characters over function fields
Chantal David, Alexandra Florea, Matilde Lalin
We show that a positive proportion of the values are non-zero, where is the residue symbol for over , when aver…
Random walks through the areal Mahler measure: steps in the complex plane
Matilde N. Lalín, Siva Sankar Nair, Berend Ringeling +1
We study the areal Mahler measure of the two-variable, -parameter family and prove explicit formulas that demonstrate its relation to the standard Mahler measure of thes…
Evaluations of the areal Mahler measure of multivariable polynomials
Matilde N. Lalin, Subham Roy
We exhibit some nontrivial evaluations of the areal Mahler measure of multivariable polynomials, defined by Pritsker [Pri08] by considering the integral over the product of unit di…
Moments of Artin-Schreier L-functions
Alexandra Florea, Edna Jones, Matilde Lalin
We compute moments of -functions associated to the polynomial family of Artin--Schreier covers over , where is a power of a prime , when the size of the f…