The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Linear Boltzmann equation and some Dirichlet series

Bobylev, A (Karlstad)
Tuesday 28 September 2010, 15:00-15:45

Seminar Room 1, Newton Institute


It is shown that a broad class of generalized Dirichlet series (including the polylogarithm, related to the Riemann zeta function) can be presented as a class of solutions of the Fourier transformed spatially homogeneous linear Boltzmann equation with a special Maxwell type collision kernel. The proof uses an explicit integral representation of solutions to the Cauchy problem for the Boltzmann equation. Possible applications to the theory of Dirichlet series are briefly discussed. The talk is based on joint paper with Irene Gamba.


[pdf ]


The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧