Abstract
One derives 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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Literature cited
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 25–30, 1979.
In conclusion, we would like to express our gratitude to A. A. Yudin for discussions regarding the above problems.
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Vinogradov, A.I., Skriganov, M.M. Number of lattice points in a sphere with a variable center. J Math Sci 17, 2098–2101 (1981). https://doi.org/10.1007/BF01567588
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DOI: https://doi.org/10.1007/BF01567588