Showing 2021Show all
2 papers · 1 filter
math.NT2021
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…
math.NT2021
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…