Computing sieve integrals using LattE, and the density of integers with a localized divisor

Sary Drappeau, Adrien Mounier

We consider the problem of estimating numerically integrals of the shape $${\int }_P\frac{dt}{t_1\cdots t_k}$$ where $P\in {\mathbb{R}}_{>0}^k$ is a convex polytope, $t=(t_1,\dots…