3 papers
math.CA2024
Single radius spherical cap discrepancy on compact two-point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante +1
In this note we study estimates from below of the single radius spherical discrepancy in the setting of compact two-point homogeneous spaces. Namely, given a -dimensional manifo…
math.AP2022
Irregularities of distribution on two point homogeneous spaces
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
We study the irregularities of distribution on two-point homogeneous spaces. Our main result is the following: let be the real dimension of a two point homogeneous space $\math…
math.CA2022
Euler-MacLaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials
Luca Brandolini, Leonardo Colzani, Bianca Gariboldi +2
We provide a multidimensional weighted Euler--MacLaurin summation formula on polytopes and a multidimensional generalization of a result due to L. J. Mordell on the series expansio…