On the error term of a lattice counting problem
Number Theory
2017-05-25 v1
Abstract
We improve the error terms of some estimates related to counting lattices from recent work of L. Fukshansky, P. Guerzhoy and F. Luca (2017). This improvement is based on some analytic techniques, in particular on bounds of exponential sums coupled with the use of Vaaler polynomials.
Cite
@article{arxiv.1705.08714,
title = {On the error term of a lattice counting problem},
author = {Florian Luca and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1705.08714},
year = {2017}
}