Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic
Number Theory
2007-05-23 v1
Abstract
This is a survey article on the theory of lattice points in large planar domains and bodies of dimensions 3 and higher, with an emphasis on recent developments and new methods, including a lot of results established only during the last few years. It deals with the classic circle and sphere problems, as well as with the present state-of-the-art concerning lattice points in more general regions and bodies. Furthermore, a thorough account is given on divisor problems and related arithmetic functions.
Cite
@article{arxiv.math/0410522,
title = {Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic},
author = {A. Ivic and E. Krätzel and M. Kühleitner and W. G. Nowak},
journal= {arXiv preprint arXiv:math/0410522},
year = {2007}
}
Comments
39 pages