SPHERICAL SUMS IN THE SPHERE PROBLEM
https://doi.org/10.22405/2226-8383-2013-14-2-33-49
Abstract
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.
About the Author
L. G. Arkhipova
Московский государственный университет им. М. В. Ломоносова
Russian Federation
Russian Federation
References
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Review
For citations:
Arkhipova L.G. SPHERICAL SUMS IN THE SPHERE PROBLEM. Chebyshevskii Sbornik. 2013;14(2):33-49. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-2-33-49
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