Estimates on Lattice Points in the Circle
Number Theory
2014-09-09 v1
Abstract
This paper provides estimates on the difference between the number of integer lattice points an a circle centered at the origin and the area. The estimates have the form "Big O" of the product of logarithm of the radius and the radius raised to a power 2b. The simplest new estimate obtained is b = 5/16; the best is b = 1507/4875 = .309128205...
Cite
@article{arxiv.1409.2446,
title = {Estimates on Lattice Points in the Circle},
author = {Julius L. Shaneson},
journal= {arXiv preprint arXiv:1409.2446},
year = {2014}
}