G. Travaglini

activity

20032026

most citedDiscrepancy and numerical integration on metric measure spaces

14 citations · 37 across the 15 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015★ 1 cited

A characterization theorem for the $L^{2}$ -discrepancy of integer points in dilated polygons

Giancarlo Travaglini, Maria Rosaria Tupputi

Let $C$ be a convex $d$ -dimensional body. If $ρ$ is a large positive number, then the dilated body $ρC$ contains $ρ^{d} ∣ C ∣ + O (ρ^{d - 1})$ i…

math.NT2015★ 12 cited

$L^{p}$ and Weak- $L^{p}$ estimates for the number of integer points in translated domains

Luca Brandolini, Leonardo Colzani, Giacomo Gigante +1

Revisiting and extending a recent result of M.Huxley, we estimate the $L^{p} (T^{d})$ and Weak- $L^{p} (T^{d})$ norms of the discrepancy be…

math.NT2015

Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus

Luca Brandolini, Leonardo Colzani, Giacomo Gigante +1

We produce explicit low-discrepancy infinite sequences which can be used to approximate the integral of a smooth periodic function restricted to a convex domain with positive curva…

A characterization theorem for the L2-discrepancy of integer points in dilated polygons

Lp and Weak-Lp estimates for the number of integer points in translated domains

Low-discrepancy sequences for piecewise smooth functions on the two-dimensional torus

A characterization theorem for the $L^{2}$ -discrepancy of integer points in dilated polygons

$L^{p}$ and Weak- $L^{p}$ estimates for the number of integer points in translated domains