Geodesic
Spherical sums in the sphere problem
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 33-49 Cet article a éte moissonné depuis la source Math-Net.Ru

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Here is given an analytical expression for the error term of the asymptotic formula for the number of lattice points in the sphere using a spherical trigonometric sum, that is triple sum over lattice points lying on the sphere of variable radius. Conclusion based on a threefold application of the one-dimensional Poisson summation formula with the error term. The estimation of the error term is held in an explicit form.
Keywords: Sphere problem, spherical sums, exponential sums. 
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L. G. Arkhipova. Spherical sums in the sphere problem. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 33-49. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a3/

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