3 papers
math.NT2022
On a mean value formula for multiple sums over a lattice and its dual
Andreas Strömbergsson, Anders Södergren
We prove a generalized version of Rogers' mean value formula in the space of unimodular lattices in , which gives the mean value of a multiple sum over a lattice and…
math-ph2015
Generalized linear Boltzmann equations for particle transport in polycrystals
Jens Marklof, Andreas Strömbergsson
The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neu…
math.NT2011
On the limit distribution of Frobenius numbers
Andreas Strömbergsson
The Frobenius number g(a) of an integer vector a with positive coprime coefficients is defined as the largest integer that does not have a representation as a non-negative integer…