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.
@article{ZNSL_1979_91_a1,
author = {A. I. Vinogradov and M. M. Skriganov},
title = {On the number of lattice points inside the sphere with transposing center},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {25--30},
year = {1979},
volume = {91},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_91_a1/}
}
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/