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math.CA2020
An Euler-Maclaurin formula for polygonal sums
Luca Brandolini, Leonardo Colzani, Sinai Robins +1
We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with in…
math.AP2020
On a sharp lemma of Cassels and Montgomery on manifolds
Luca Brandolini, Bianca Gariboldi, Giacomo Gigante
Let be a -dimensional compact connected Riemannian manifold and let be a complete sequence of orthonormal…