Geodesic
The Number of Lattice Points in a~Spherical Layer
Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 332-335

Voir la notice de l'article provenant de la source Math-Net.Ru

New dependences between lattices and their duals are established. In Euclidean spaces of large dimensions, an exponential lower bound for the number of points of a lattice $L$ that lie in a spherical layer with close inner and outer radii is obtained. The radii are reciprocal to the packing radius of the dual lattice $L'$. 
@article{TRSPY_2002_239_a22,
     author = {V. A. Yudin},
     title = {The {Number} of {Lattice} {Points} in {a~Spherical} {Layer}},
     journal = {Informatics and Automation},
     pages = {332--335},
     publisher = {mathdoc},
     volume = {239},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_239_a22/}
}
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V. A. Yudin. The Number of Lattice Points in a~Spherical Layer. Informatics and Automation, Discrete geometry and geometry of numbers, Tome 239 (2002), pp. 332-335. http://geodesic.mathdoc.fr/item/TRSPY_2002_239_a22/