Geodesic
On the number of lattice points inside the sphere with transposing center
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 25-30

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The authors give a lower bound for the oscillation of the number of lattice points inside a sphere of large radius when the center of the sphere varies in the fundamental domain of the lattice. 
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     author = {A. I. Vinogradov and M. M. Skriganov},
     title = {On the number of lattice points inside the sphere with transposing center},
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     volume = {91},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a1/}
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A. I. Vinogradov; M. M. Skriganov. On the number of lattice points inside the sphere with transposing center. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 2, Tome 91 (1979), pp. 25-30. http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a1/