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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 08/2000

M.M.Skriganov
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ERGODIC THEORY ON SL(n) AND
ANOMALIES IN THE LATTICE POINT PROBLEM:
RELATED QUESTIONS AND OPEN PROBLEMS

This preprint was accepted August 2000

Contact:
` M.M.Skriganov `

ABSTRACT:
The present paper contains a short survey of the results on
anomalously small, particularly logarithmically small, errors in
the lattice point problem for polyhedra in $\Bbb R^n$. Relevant
open problems are also briefly discussed.
The paper was given as a talk on a Newton Institute EuroWorkshop
``Rigidity in Dynamics and Geometry'' in March 2000.

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