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SUMMARY:Linear Boltzmann equation and some Dirichlet series - Bobylev\, A 
 (Karlstad)
DTSTART:20100928T140000Z
DTEND:20100928T144500Z
UID:TALK26654@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION: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 collisio
 n 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 o
 n joint paper with Irene Gamba.\n
LOCATION:Seminar Room 1\, Newton Institute
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