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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.

Identiferoai:union.ndltd.org:Potsdam/oai:kobv.de-opus-ubp:7045
Date January 2014
CreatorsAizenberg, Lev, Tarkhanov, Nikolai
PublisherUniversität Potsdam, Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik
Source SetsPotsdam University
LanguageEnglish
Detected LanguageEnglish
TypePreprint
Formatapplication/pdf
Rightshttp://opus.kobv.de/ubp/doku/urheberrecht.php

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