Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (4)
- Authors
- Tereshonok, Elena N.; Shchuplev, Alexey V.
- Contact information
- Tereshonok, Elena N. : Institute of Mathematics, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041 Russia , e-mail: ; Shchuplev, Alexey V. : Institute of Mathematics, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041 Russia , e-mail:
- Keywords
- Weierstrass function; integer lattice; Bochner-Martinelli kernel; Gauss circle problem
- Abstract
A multidimensional analog of the Weierstrass function in is a differential form with singularities in the points of the integer lattice . Using this form we construct a invariant form The integral of this form over a domain's boundary is equal to difference between the number of integer points in the domain and its volume.
- Pages
- 480-484
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/3104
Journal of Siberian Federal University. Mathematics & Physics / A Multidimensional Analog of the Weierstrass -function in the Problem of the Number of Integer Points in a Domain
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