Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (2)
- Authors
- Aizenberg, Lev; Tarkhanov, Nikolai
- Contact information
- Aizenberg, Lev:Department of Mathematics Bar-Ilan University 52900 Ramat-Gan Israel;; Tarkhanov, Nikolai:Institute of Mathematics University of Potsdam Am Neuen Palais, 10, Potsdam, 14469 Germany;
- Keywords
- logarithmic residue; lattice point
- Abstract
Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of Rn and the volume of this domain. The difference proves to be the integral of an explicit differential form over the boundary of the domain
- Pages
- 134–139
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/16799
Journal of Siberian Federal University. Mathematics & Physics / An Integral Formula for the Number of Lattice Points in a Domain
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