| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4615011 | Journal of Mathematical Analysis and Applications | 2015 | 11 Pages |
Abstract
We prove the exponent 4/3 for the lattice point discrepancy of a torus in R3R3 (generated by the rotation of a circle around the z axis). The exponent comes from a diagonal term and it seems a natural limit for any approach based solely on classical methods of exponential sums. The result extends to other solids in R3R3 related to the torus.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fernando Chamizo, Dulcinea Raboso,