𝔖 Bobbio Scriptorium
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Lattice points in high-dimensional spheres

✍ Scribed by J. E. Mazo; A. M. Odlyzko


Book ID
105244933
Publisher
Springer Vienna
Year
1990
Tongue
English
Weight
592 KB
Volume
110
Category
Article
ISSN
0026-9255

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Visible lattice points in the sphere
✍ Fernando Chamizo; Elena CristΓ³bal; AdriΓ‘n Ubis πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 146 KB

The number of visible (primitive) lattice points in the sphere of radius R is well approximated by 4Ο€ 3ΞΆ(3) R 3 . We consider an integral expression involving the error term E \* (R), which leads to ). This is comparable to what is known in the sphere problem. We can avoid the use of the second pow