We show that the number of lattice points lying in a thin annulus has a
Gaussian value distribution if the width of the annulus tends to zero
sufficiently slowly as we increase the inner radius.
Publié le : 2003-04-09
Classification:
Mathematics - Probability,
Mathematical Physics,
Mathematics - Number Theory
@article{0304129,
author = {Hughes, C. P. and Rudnick, Z.},
title = {On the distribution of lattice points in thin annuli},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0304129}
}
Hughes, C. P.; Rudnick, Z. On the distribution of lattice points in thin annuli. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304129/