An integral formula for the number of lattice points in a domain
Using the multidimensional logarithmic residue we show a simple formula for the difference between the number of integer points in a bounded domain of R^n and the volume of this domain. The difference proves to be the integral of an explicit differential form over the boundary of the domain.
| Main Authors: | , |
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| Format: | Others |
| Language: | English |
| Published: |
Universität Potsdam
2014
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| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-70453 http://opus.kobv.de/ubp/volltexte/2014/7045/ |